# FILE NAME: 00055-00000032.soc
# TITLE: Football 1998
# DESCRIPTION: Complete preferences extracted from the soi file
# DATA TYPE: soc
# MODIFICATION TYPE: induced
# RELATES TO: 00055-00000032.soi
# RELATED FILES: 
# PUBLICATION DATE: 2022-09-25
# MODIFICATION DATE: 2022-09-25
# NUMBER ALTERNATIVES: 112
# NUMBER VOTERS: 704
# NUMBER UNIQUE ORDERS: 702
# ALTERNATIVE NAME 1: Vanderbilt
# ALTERNATIVE NAME 2: NC State
# ALTERNATIVE NAME 3: Temple
# ALTERNATIVE NAME 4: USC
# ALTERNATIVE NAME 5: ULM
# ALTERNATIVE NAME 6: Missouri
# ALTERNATIVE NAME 7: LSU
# ALTERNATIVE NAME 8: Louisiana
# ALTERNATIVE NAME 9: SMU
# ALTERNATIVE NAME 10: UAB
# ALTERNATIVE NAME 11: Iowa
# ALTERNATIVE NAME 12: Kentucky
# ALTERNATIVE NAME 13: Wyoming
# ALTERNATIVE NAME 14: New Mexico
# ALTERNATIVE NAME 15: Toledo
# ALTERNATIVE NAME 16: Iowa St
# ALTERNATIVE NAME 17: Army
# ALTERNATIVE NAME 18: Notre Dame
# ALTERNATIVE NAME 19: California
# ALTERNATIVE NAME 20: Tulsa
# ALTERNATIVE NAME 21: Utah St
# ALTERNATIVE NAME 22: Penn St
# ALTERNATIVE NAME 23: Akron
# ALTERNATIVE NAME 24: Georgia Tech
# ALTERNATIVE NAME 25: Michigan
# ALTERNATIVE NAME 26: TCU
# ALTERNATIVE NAME 27: Michigan St
# ALTERNATIVE NAME 28: Nebraska
# ALTERNATIVE NAME 29: Oklahoma St
# ALTERNATIVE NAME 30: Syracuse
# ALTERNATIVE NAME 31: Virginia
# ALTERNATIVE NAME 32: Oklahoma
# ALTERNATIVE NAME 33: Stanford
# ALTERNATIVE NAME 34: UTEP
# ALTERNATIVE NAME 35: North Carolina
# ALTERNATIVE NAME 36: Arizona
# ALTERNATIVE NAME 37: Boston College
# ALTERNATIVE NAME 38: Duke
# ALTERNATIVE NAME 39: Pittsburgh
# ALTERNATIVE NAME 40: Georgia
# ALTERNATIVE NAME 41: Louisville
# ALTERNATIVE NAME 42: Wake Forest
# ALTERNATIVE NAME 43: Arkansas St
# ALTERNATIVE NAME 44: N Illinois
# ALTERNATIVE NAME 45: Arizona St
# ALTERNATIVE NAME 46: West Virginia
# ALTERNATIVE NAME 47: W Michigan
# ALTERNATIVE NAME 48: Minnesota
# ALTERNATIVE NAME 49: Oregon St
# ALTERNATIVE NAME 50: Cincinnati
# ALTERNATIVE NAME 51: Wisconsin
# ALTERNATIVE NAME 52: Northwestern
# ALTERNATIVE NAME 53: Illinois
# ALTERNATIVE NAME 54: Idaho
# ALTERNATIVE NAME 55: UCLA
# ALTERNATIVE NAME 56: Maryland
# ALTERNATIVE NAME 57: BYU
# ALTERNATIVE NAME 58: Mississippi
# ALTERNATIVE NAME 59: Washington
# ALTERNATIVE NAME 60: Ohio St
# ALTERNATIVE NAME 61: Fresno St
# ALTERNATIVE NAME 62: Miami OH
# ALTERNATIVE NAME 63: Florida
# ALTERNATIVE NAME 64: Nevada
# ALTERNATIVE NAME 65: New Mexico St
# ALTERNATIVE NAME 66: Texas Tech
# ALTERNATIVE NAME 67: Tennessee
# ALTERNATIVE NAME 68: Kansas
# ALTERNATIVE NAME 69: Florida St
# ALTERNATIVE NAME 70: Memphis
# ALTERNATIVE NAME 71: Air Force
# ALTERNATIVE NAME 72: Hawaii
# ALTERNATIVE NAME 73: Colorado St
# ALTERNATIVE NAME 74: San Diego St
# ALTERNATIVE NAME 75: Ball St
# ALTERNATIVE NAME 76: Clemson
# ALTERNATIVE NAME 77: Bowling Green
# ALTERNATIVE NAME 78: Mississippi St
# ALTERNATIVE NAME 79: Houston
# ALTERNATIVE NAME 80: South Carolina
# ALTERNATIVE NAME 81: Rice
# ALTERNATIVE NAME 82: Kansas St
# ALTERNATIVE NAME 83: Oregon
# ALTERNATIVE NAME 84: Baylor
# ALTERNATIVE NAME 85: UCF
# ALTERNATIVE NAME 86: Virginia Tech
# ALTERNATIVE NAME 87: Miami FL
# ALTERNATIVE NAME 88: E Michigan
# ALTERNATIVE NAME 89: Colorado
# ALTERNATIVE NAME 90: Arkansas
# ALTERNATIVE NAME 91: Boise St
# ALTERNATIVE NAME 92: Rutgers
# ALTERNATIVE NAME 93: Navy
# ALTERNATIVE NAME 94: Tulane
# ALTERNATIVE NAME 95: Louisiana Tech
# ALTERNATIVE NAME 96: Texas
# ALTERNATIVE NAME 97: Kent
# ALTERNATIVE NAME 98: North Texas
# ALTERNATIVE NAME 99: Alabama
# ALTERNATIVE NAME 100: Auburn
# ALTERNATIVE NAME 101: Southern Miss
# ALTERNATIVE NAME 102: UNLV
# ALTERNATIVE NAME 103: East Carolina
# ALTERNATIVE NAME 104: San Jose St
# ALTERNATIVE NAME 105: Purdue
# ALTERNATIVE NAME 106: Texas A&M
# ALTERNATIVE NAME 107: Utah
# ALTERNATIVE NAME 108: Indiana
# ALTERNATIVE NAME 109: Ohio
# ALTERNATIVE NAME 110: Marshall
# ALTERNATIVE NAME 111: C Michigan
# ALTERNATIVE NAME 112: Washington St
2: 55,69,67,82,60,36,106,24,28,51,96,63,31,4,83,25,18,90,22,30,94,6,40,105,99,2,12,78,59,71,27,89,46,86,62,66,87,101,19,35,110,57,45,29,85,74,49,13,7,73,32,100,41,48,58,95,108,33,15,107,68,77,26,37,84,112,54,9,92,81,16,109,103,38,61,11,47,76,5,56,53,20,1,42,93,79,17,111,10,64,80,52,104,39,91,70,34,98,23,21,8,50,3,44,65,43,14,88,102,75,72,97
2: 55,82,67,69,60,36,106,83,63,28,4,90,18,6,51,25,22,71,96,94,31,30,66,40,24,105,12,86,87,89,59,46,2,99,7,101,19,13,27,78,45,73,62,29,49,57,85,32,110,107,100,74,58,41,95,108,68,84,48,37,26,81,15,35,112,33,61,54,11,9,79,16,64,42,38,103,17,92,76,77,53,47,109,91,56,104,80,20,52,93,1,111,34,98,70,39,10,5,65,43,21,23,14,3,50,8,102,44,88,75,72,97
1: 82,60,28,55,83,69,22,67,6,96,106,24,71,63,30,4,51,86,89,31,105,7,66,46,2,36,78,90,12,87,29,59,40,18,19,101,32,45,84,16,27,108,25,73,85,26,94,37,100,95,57,49,48,99,13,61,11,38,68,35,58,41,107,54,39,112,79,74,42,9,15,34,81,76,20,56,103,110,77,80,52,62,33,104,98,65,3,17,70,21,109,64,14,43,53,91,23,47,10,93,92,1,72,5,102,111,44,50,88,75,8,97
1: 82,60,28,69,55,83,67,22,6,106,71,63,4,51,96,7,30,24,86,31,105,46,66,2,89,36,87,29,90,101,12,40,19,59,78,73,84,100,25,94,18,45,27,32,68,16,108,85,95,49,61,26,48,37,13,57,35,38,99,79,58,39,11,107,74,41,112,62,20,42,76,110,56,52,15,81,9,64,33,34,103,17,54,80,104,77,65,98,3,70,93,91,109,14,23,43,53,21,10,47,1,92,102,111,5,72,44,88,50,75,8,97
1: 82,60,69,28,67,63,55,22,71,51,4,96,6,106,83,86,30,36,105,7,24,31,66,87,46,90,89,12,18,29,2,78,101,40,94,100,59,25,19,27,73,45,99,108,49,84,85,32,58,13,16,57,95,48,61,26,107,68,35,37,39,11,79,41,74,81,38,33,62,9,76,112,42,64,20,56,15,52,77,54,103,17,110,34,80,70,104,65,93,53,14,98,109,1,3,21,47,43,92,23,91,102,5,10,111,72,44,50,88,75,8,97
1: 82,69,28,60,63,6,106,55,67,4,51,71,83,36,96,86,105,22,30,24,90,87,66,7,46,31,18,29,25,12,2,45,89,59,27,101,78,94,40,100,99,95,49,13,85,57,73,19,84,35,32,16,37,48,68,107,108,58,26,61,74,11,62,41,9,79,81,33,38,39,76,42,77,112,64,56,15,110,52,17,54,103,20,34,70,80,104,53,98,65,109,3,93,1,14,21,92,10,91,102,47,23,5,43,111,72,44,50,88,75,8,97
1: 82,69,28,60,106,67,83,55,6,4,63,71,86,36,51,30,105,22,96,90,87,66,24,25,7,31,18,46,12,89,101,27,2,59,78,29,94,40,45,95,13,100,49,73,99,19,57,107,32,85,84,37,35,108,61,48,68,74,62,41,26,58,16,11,79,42,81,33,76,9,39,56,38,64,110,112,17,52,15,80,54,103,20,34,77,70,53,104,109,98,92,65,3,47,93,21,91,1,10,14,102,23,5,43,111,44,50,72,88,75,8,97
1: 82,69,60,28,67,6,55,106,86,105,63,51,83,4,30,87,71,36,96,22,24,90,46,31,25,18,66,101,27,7,89,94,29,78,2,12,59,40,45,49,99,95,73,48,100,32,85,35,19,57,37,41,84,107,13,26,62,68,74,16,108,61,81,33,58,76,79,9,39,56,42,11,20,110,17,112,38,52,64,103,80,15,77,34,70,54,104,53,3,92,98,109,93,47,10,21,91,65,1,23,14,102,50,111,5,44,88,43,72,75,8,97
1: 82,69,60,28,67,30,55,6,106,105,63,51,83,4,86,22,71,96,36,90,46,31,24,94,25,66,101,89,18,87,78,27,7,29,12,2,40,59,45,99,49,73,48,100,35,32,85,57,19,95,41,107,84,37,13,26,62,74,68,61,16,81,108,33,58,79,76,9,56,42,20,11,17,39,110,112,38,52,64,80,103,15,77,34,70,54,104,53,98,92,93,3,109,47,21,65,91,10,1,23,14,102,50,111,5,44,88,43,72,75,8,97
1: 82,69,60,28,67,30,106,6,55,105,63,51,86,4,83,22,96,90,71,36,46,31,24,87,94,25,66,101,18,89,78,27,7,29,12,2,40,59,45,99,49,73,100,48,35,32,57,85,19,95,41,37,107,84,13,26,62,74,68,61,81,108,16,33,58,76,79,9,56,42,20,11,39,110,17,38,112,52,64,80,103,15,70,34,77,54,104,53,92,93,3,98,109,47,21,65,91,1,10,23,14,102,50,111,5,44,88,43,72,75,8,97
1: 67,60,51,69,36,55,94,106,63,82,24,22,96,25,40,71,28,105,18,31,6,90,4,62,83,87,30,110,86,89,99,12,46,13,59,2,27,78,85,66,73,35,19,101,48,58,26,45,32,49,29,74,57,54,41,95,7,108,15,100,107,81,77,47,33,103,11,68,9,37,92,112,109,16,64,53,38,84,20,5,111,61,52,91,79,42,76,17,56,1,10,104,98,93,23,80,39,65,70,34,50,43,21,3,88,8,44,14,102,75,72,97
1: 67,55,60,83,86,31,66,82,28,51,19,69,106,63,90,89,40,110,18,22,36,24,4,94,96,62,26,2,7,6,13,46,78,103,85,71,73,112,25,12,59,99,49,30,27,105,37,32,54,48,84,58,87,38,104,29,11,65,95,35,74,100,107,41,45,101,16,15,39,20,57,108,43,68,111,53,33,91,76,64,23,56,92,77,79,34,98,17,61,42,10,47,5,52,109,14,80,81,93,9,88,21,75,1,70,102,50,72,8,3,44,97
1: 55,67,60,82,90,106,51,28,69,63,83,89,24,36,22,66,94,4,18,40,31,2,19,110,6,96,12,59,86,99,30,13,62,46,85,73,78,25,71,7,27,112,58,26,105,49,103,48,95,84,37,54,101,15,32,107,108,87,38,74,29,45,35,57,41,100,11,65,104,47,92,16,91,34,98,68,42,109,53,9,33,5,76,81,20,79,77,39,10,23,93,56,43,52,80,17,64,111,61,14,70,21,8,3,88,1,44,75,102,50,72,97
1: 55,67,60,82,106,28,69,90,51,63,83,22,40,94,36,31,18,24,4,59,19,96,89,66,110,2,6,86,99,85,62,13,30,73,25,12,7,71,48,105,58,101,87,78,46,112,100,27,29,15,49,74,38,26,95,45,103,84,68,57,35,108,107,41,54,37,32,11,79,65,16,92,91,9,93,77,47,104,64,42,109,111,53,98,81,5,39,34,20,52,76,61,33,17,10,56,43,23,80,1,14,44,70,8,21,88,3,75,102,50,72,97
1: 55,67,60,82,90,63,106,69,51,36,28,22,18,94,4,40,83,96,31,19,6,99,24,89,59,13,25,86,30,62,2,58,85,66,12,71,105,87,78,110,7,48,73,45,27,15,101,100,49,46,57,29,112,95,26,32,107,74,108,84,79,68,54,41,35,38,77,103,92,81,37,11,5,47,9,64,111,16,93,61,91,1,33,20,65,53,42,104,98,34,109,17,39,52,76,80,70,56,10,43,23,44,21,14,8,3,88,75,50,102,72,97
1: 55,67,90,82,63,69,106,36,51,60,28,18,83,96,4,94,40,6,99,22,13,25,31,24,86,19,62,59,12,2,89,66,105,58,71,27,87,45,110,30,85,46,7,101,100,78,73,48,15,57,49,112,95,107,74,68,29,35,32,84,41,81,77,54,38,103,26,92,108,79,5,11,9,37,64,47,91,53,16,33,111,104,109,1,61,93,42,52,20,17,80,98,76,10,65,34,70,56,39,43,23,3,44,14,21,8,88,102,75,50,72,97
1: 67,55,82,106,63,69,36,90,60,83,18,40,28,51,4,94,25,31,96,22,6,24,12,99,66,71,89,13,59,2,30,62,105,19,86,87,58,78,110,46,27,45,85,7,101,73,15,100,57,49,74,107,29,95,32,41,48,68,108,54,112,35,26,81,84,37,47,92,33,11,77,64,103,38,91,9,53,5,109,16,61,1,79,104,111,93,42,56,80,52,10,17,76,20,34,65,43,70,98,23,21,39,3,14,44,50,8,88,75,102,72,97
1: 55,67,82,69,106,36,60,18,94,51,63,28,40,83,4,90,31,25,96,24,6,71,22,99,59,2,105,89,30,62,86,12,66,87,78,46,27,19,45,110,13,101,85,49,73,58,29,57,32,74,7,48,35,41,95,100,15,33,107,26,54,108,68,112,81,103,84,47,77,37,92,16,9,11,64,109,38,5,61,20,53,79,111,76,42,91,56,10,1,52,104,93,17,98,80,34,23,70,21,65,39,43,50,3,8,44,14,88,102,75,97,72
1: 55,67,82,69,36,60,106,94,51,63,28,4,96,31,18,83,24,90,40,22,25,6,71,99,59,105,30,62,78,89,2,12,66,86,46,19,110,87,45,101,13,27,49,85,35,73,29,57,32,74,58,48,41,7,100,95,15,33,107,26,54,108,112,68,81,103,47,77,84,37,16,11,92,9,38,64,109,5,61,53,20,42,76,79,111,56,91,1,52,10,104,93,17,98,34,23,80,70,65,21,39,43,50,3,8,44,14,88,102,75,72,97
1: 67,69,55,82,36,106,60,94,51,63,28,4,31,18,96,24,90,83,40,22,71,25,6,30,99,105,62,59,87,2,12,89,66,86,78,46,110,19,101,13,27,85,45,35,49,73,29,32,74,57,58,48,41,7,100,95,26,107,33,54,15,108,81,68,112,103,77,47,37,92,84,16,11,9,38,109,64,5,53,20,61,42,76,111,79,56,91,17,1,52,10,104,98,93,23,80,34,70,39,65,50,21,43,3,8,14,88,44,102,75,72,97
1: 67,60,69,51,82,63,36,106,71,55,28,22,94,25,86,105,90,24,96,31,6,30,4,40,18,62,83,87,46,89,78,101,12,110,73,27,66,99,85,7,59,2,13,35,57,29,45,26,58,48,49,107,74,95,19,32,54,41,100,81,108,61,15,37,64,9,68,103,33,77,20,47,11,16,109,79,76,84,112,38,17,42,52,56,92,91,104,10,5,111,80,53,34,39,70,65,93,23,98,21,1,50,14,3,43,88,8,44,102,75,72,97
1: 25,82,69,60,63,28,67,7,100,55,59,35,73,45,51,101,83,106,22,18,40,24,30,27,4,110,109,31,11,29,105,90,94,80,58,36,78,19,46,86,6,76,57,89,42,15,12,81,62,112,66,13,71,33,107,99,95,49,52,87,50,85,2,47,5,61,68,103,102,48,9,70,96,64,91,14,38,23,39,1,37,75,56,32,21,84,74,108,16,20,104,79,10,93,34,77,111,17,43,3,54,98,41,65,72,88,53,26,97,44,8,92
1: 25,82,60,69,63,67,28,7,100,55,59,73,35,45,51,101,83,22,18,4,106,40,24,30,110,109,31,11,29,27,90,94,80,58,36,78,19,105,46,86,6,76,57,89,42,15,12,81,62,112,66,13,71,33,107,99,49,95,52,87,50,85,2,47,5,61,68,103,102,48,9,70,96,64,91,14,38,23,39,1,37,75,56,32,21,84,74,108,16,20,104,79,10,93,34,77,111,17,43,3,54,98,41,65,72,88,53,26,97,44,8,92
1: 69,82,60,25,63,28,7,67,59,55,51,18,22,83,100,45,31,35,4,101,106,110,73,40,29,11,30,94,58,78,109,80,36,90,89,24,86,105,19,6,46,62,71,12,76,15,81,66,107,57,13,99,112,49,52,27,85,42,2,87,33,5,47,50,61,48,68,96,9,103,95,102,37,70,14,91,38,64,39,32,104,23,56,1,75,20,84,74,108,10,21,79,93,16,34,77,54,111,17,43,3,26,41,98,53,65,72,88,97,92,8,44
1: 60,28,67,82,7,63,51,69,22,59,55,83,31,4,30,89,25,40,100,94,106,78,36,35,101,73,86,2,62,110,18,6,71,99,57,66,49,90,105,58,107,46,24,112,45,12,87,11,27,29,85,81,109,48,13,80,19,38,37,15,32,61,96,42,20,76,52,5,14,47,103,16,54,9,39,23,108,104,56,68,50,33,70,95,84,91,10,64,1,102,74,26,93,53,77,17,21,34,79,111,88,43,75,72,3,98,65,41,92,44,97,8
1: 60,28,69,7,67,4,22,51,82,83,86,59,106,63,31,36,71,55,89,40,30,66,110,105,6,73,94,49,25,18,62,58,29,12,78,2,100,107,90,99,48,46,112,85,24,57,27,101,37,87,35,45,52,19,15,103,32,38,13,42,76,20,16,11,81,61,80,5,84,68,95,33,109,96,54,23,39,108,14,10,17,91,56,64,74,26,93,104,102,47,77,34,9,43,41,111,70,50,21,79,65,1,72,53,98,88,3,92,75,97,8,44
1: 60,28,69,67,7,31,51,82,86,83,22,36,106,63,89,55,4,66,40,30,78,71,59,90,110,6,62,18,25,73,46,29,94,105,24,19,100,58,12,48,2,45,85,57,49,112,101,87,32,107,99,27,11,13,42,103,96,37,20,108,68,16,26,84,15,38,52,91,35,23,109,76,95,61,56,54,41,39,104,33,64,10,43,5,14,111,81,21,80,65,74,17,93,70,47,79,34,9,77,102,1,92,98,53,88,50,72,3,75,44,8,97
1: 60,28,67,69,51,31,36,86,82,40,55,83,89,22,63,4,7,106,66,90,110,105,94,71,18,2,78,30,25,46,85,6,24,29,73,19,59,12,49,87,58,62,13,100,27,45,96,32,48,112,101,57,84,11,103,37,99,107,26,108,95,39,68,61,54,41,20,16,35,64,15,74,38,10,43,56,42,91,33,104,81,23,79,9,109,52,76,77,80,21,14,65,111,5,47,17,93,53,34,88,98,70,92,1,102,50,3,75,72,8,44,97
1: 60,67,28,86,82,69,51,55,83,63,106,31,22,66,90,40,24,7,89,36,18,4,110,71,78,6,94,30,19,25,73,105,46,96,59,85,62,2,12,87,29,27,49,101,13,103,26,84,99,58,54,95,57,37,100,11,112,35,45,108,48,32,107,68,39,38,16,41,61,15,76,74,20,104,23,17,65,64,10,33,111,52,42,80,34,109,9,47,81,79,77,56,91,43,98,14,5,53,21,93,92,88,70,50,1,102,3,75,8,72,44,97
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1: 28,69,63,55,60,59,25,67,82,112,73,11,35,30,7,45,22,100,40,4,106,89,18,101,27,83,76,105,31,58,6,62,36,24,66,93,2,33,29,99,13,86,80,110,94,52,51,78,46,87,14,19,71,64,85,90,12,50,107,96,57,1,21,74,61,48,81,15,103,39,42,49,9,109,84,32,37,68,38,70,53,56,47,108,102,75,88,26,10,79,17,20,41,72,95,5,77,3,91,104,34,98,54,16,23,97,44,92,111,43,65,8
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1: 82,28,55,60,63,40,12,85,22,67,59,86,71,7,89,69,30,66,51,83,4,31,112,94,78,38,36,35,100,6,96,87,73,99,27,45,49,105,11,62,2,25,110,106,101,13,46,57,18,37,61,29,80,90,58,81,14,32,84,93,39,53,20,24,9,19,52,74,76,26,21,56,108,107,48,33,42,103,16,88,17,10,54,109,15,68,104,70,64,34,1,79,91,72,5,75,50,23,95,47,3,43,77,98,92,102,97,111,8,41,44,65
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1: 82,28,60,83,30,69,67,63,7,55,25,86,22,40,4,96,71,51,12,89,6,106,66,36,46,94,31,105,100,27,2,78,59,18,13,87,29,85,73,45,24,108,90,57,11,49,84,39,26,112,19,48,32,62,95,58,110,16,101,61,107,99,76,74,20,68,103,15,35,42,43,10,93,79,91,21,23,56,37,64,52,80,9,109,38,41,14,104,54,81,70,33,34,17,111,5,98,72,53,47,3,77,1,88,50,102,65,92,97,75,44,8
1: 82,28,60,83,55,69,67,30,63,7,86,25,22,40,71,105,4,96,31,36,6,2,51,46,106,18,29,59,27,89,100,78,45,24,90,94,13,66,73,95,11,39,85,12,87,57,101,84,99,19,110,112,49,62,32,61,108,58,76,35,41,74,107,68,42,9,26,79,103,80,15,56,64,21,20,37,52,93,48,16,33,81,53,38,34,1,77,54,70,23,43,104,14,111,17,109,98,10,47,88,5,3,91,72,102,65,50,97,75,44,92,8
1: 82,28,55,83,60,67,63,69,30,86,71,96,25,7,106,31,22,24,105,78,18,51,6,4,40,59,46,2,36,27,89,95,29,94,101,100,66,87,73,90,45,35,12,13,39,99,85,58,84,57,19,11,108,76,110,112,62,49,32,26,68,61,74,80,42,107,9,103,52,33,15,38,16,48,37,54,79,56,41,64,81,20,34,77,93,23,1,17,21,53,109,98,104,111,70,14,47,10,5,3,88,43,91,102,65,72,75,50,44,97,92,8
1: 82,28,55,83,60,69,67,30,63,71,106,22,24,96,51,31,7,105,46,4,18,78,36,95,25,6,59,101,89,40,86,27,90,94,2,73,87,12,66,100,29,19,45,11,85,57,13,108,99,84,35,32,58,110,112,9,26,49,76,38,62,61,42,41,52,107,74,80,68,103,48,16,39,15,37,79,56,54,33,20,81,34,109,93,77,23,1,3,47,98,64,53,17,70,104,21,14,111,5,102,10,88,91,65,72,43,75,92,44,50,97,8
1: 82,69,60,28,55,83,67,63,71,30,7,51,106,22,4,96,105,31,24,6,46,36,101,40,25,95,86,78,87,18,100,66,59,2,90,73,94,12,29,27,89,19,45,85,84,99,108,35,57,49,13,58,11,68,110,62,61,76,32,79,112,107,38,64,26,74,48,42,52,41,15,39,16,80,103,20,9,17,33,56,37,81,77,93,54,3,109,34,1,47,53,98,23,70,104,14,102,111,65,21,91,5,44,10,88,92,43,72,75,97,8,50
1: 82,60,69,67,63,28,55,51,36,30,71,96,83,22,94,4,106,7,31,105,6,24,86,18,101,25,46,40,87,95,66,78,90,12,59,27,100,89,73,29,99,19,2,45,85,35,108,58,84,13,49,64,107,57,62,11,61,76,33,32,48,39,9,26,41,74,68,79,15,110,42,81,52,38,16,112,103,80,17,77,56,20,37,1,47,93,53,70,34,54,109,23,3,14,98,102,104,111,21,5,65,44,43,92,10,91,72,88,75,50,97,8
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1: 82,69,67,30,60,55,28,94,105,63,83,51,4,36,106,6,25,90,24,71,22,101,86,31,46,96,78,18,27,40,59,89,99,66,7,45,12,95,2,35,29,100,49,73,48,57,85,62,87,107,41,33,76,81,74,32,19,110,61,58,26,9,84,56,108,80,37,13,68,20,47,16,17,77,11,52,112,64,79,42,15,53,38,103,109,39,70,34,104,54,3,93,21,1,111,98,92,10,14,102,23,91,65,50,75,5,88,44,72,8,97,43
1: 82,69,67,30,60,94,28,105,55,63,106,83,51,22,6,4,24,90,36,101,46,71,25,31,86,96,18,78,27,40,89,99,7,66,59,45,2,87,12,95,35,29,49,100,73,48,41,57,85,62,107,33,32,76,81,19,74,26,58,110,37,61,13,84,56,9,108,80,68,47,20,112,16,52,17,11,79,64,15,77,53,42,38,109,70,34,39,104,103,3,54,93,98,21,1,111,92,10,14,102,91,23,50,65,88,75,44,5,72,8,43,97
1: 67,69,60,51,36,55,63,94,106,82,24,25,71,40,22,96,31,62,28,87,110,90,18,105,30,6,4,86,83,89,99,13,12,46,2,78,59,85,27,73,35,66,101,58,19,26,57,74,45,48,32,29,49,15,41,7,100,54,81,77,108,107,37,9,95,92,47,33,109,103,42,112,11,20,16,68,61,84,64,111,38,17,53,79,1,104,56,76,91,52,23,98,3,93,5,70,88,34,44,50,39,65,21,80,10,43,8,14,75,102,97,72
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1: 67,82,55,60,63,83,89,40,90,86,110,51,66,19,28,96,36,106,69,31,94,22,6,4,26,46,7,32,18,71,24,2,112,13,62,73,12,30,59,99,105,84,103,25,27,85,37,87,74,54,49,101,16,38,48,29,104,20,45,11,41,78,65,95,43,77,98,57,42,61,107,33,64,92,35,108,100,15,91,68,111,34,53,39,58,17,109,52,76,93,10,23,88,79,81,14,80,47,56,50,9,102,8,21,5,75,70,1,97,3,72,44
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1: 67,55,82,69,106,36,60,63,94,51,18,40,90,28,83,25,71,96,31,4,24,62,6,22,99,30,12,87,105,2,86,110,59,89,46,13,78,66,101,27,85,57,73,74,45,19,49,58,29,7,32,41,15,48,100,35,26,107,77,81,108,33,95,54,37,103,9,47,92,109,112,84,68,61,16,20,64,42,11,111,38,53,79,104,1,17,91,93,56,76,52,98,23,5,3,34,70,88,44,50,65,39,21,10,80,43,8,14,75,102,97,72
1: 55,67,82,69,36,60,106,94,63,51,96,28,24,90,31,4,83,18,25,40,71,22,62,30,6,99,59,105,12,110,78,46,89,86,2,13,87,66,101,85,57,19,74,27,73,45,35,49,29,32,41,15,58,7,48,100,26,107,77,81,33,108,54,95,37,47,103,9,109,92,112,84,68,61,42,16,20,64,11,111,38,53,79,104,1,17,56,91,93,76,52,98,23,5,34,3,70,88,44,50,65,39,21,80,10,43,8,14,75,102,97,72
1: 67,69,55,82,106,36,60,94,63,51,24,28,31,96,90,71,18,4,25,40,83,30,62,22,87,110,6,99,105,12,46,59,86,78,2,13,89,66,101,85,27,73,74,19,57,35,45,49,29,41,32,58,7,48,15,100,26,107,77,81,108,33,37,54,95,103,92,47,9,109,112,84,42,68,61,16,20,64,11,111,38,17,79,53,104,1,56,76,91,52,23,98,3,93,5,70,34,50,88,44,65,39,21,80,10,43,8,14,75,102,97,72
1: 67,60,69,63,25,51,55,36,106,105,82,24,94,71,96,28,6,22,40,86,78,90,31,30,87,46,89,83,4,18,59,45,49,27,12,99,58,66,29,35,110,85,57,26,7,48,33,100,19,73,2,32,13,107,81,54,74,101,41,95,62,42,76,9,108,112,84,64,61,37,1,80,56,16,20,68,11,53,92,103,34,38,17,52,15,104,79,111,109,91,47,70,93,21,10,77,3,98,39,65,50,14,102,23,5,88,75,44,8,43,72,97
1: 60,69,82,45,55,25,63,7,28,35,73,67,58,36,6,106,24,27,22,51,30,46,101,18,96,94,59,100,4,89,12,11,105,40,112,110,107,81,71,31,85,95,29,90,62,2,52,76,83,78,99,32,1,19,86,103,57,39,14,66,33,93,80,9,87,48,50,42,15,21,61,37,13,16,68,53,47,49,38,74,34,64,84,109,70,102,108,10,26,104,75,56,5,20,72,41,91,79,3,17,54,88,98,77,97,92,23,111,44,65,43,8
1: 25,69,28,63,82,67,112,35,60,73,55,40,4,101,22,106,59,100,7,45,58,83,27,36,6,76,105,30,51,11,89,31,78,94,24,110,95,2,18,14,29,52,93,62,66,80,33,19,12,90,46,99,50,85,39,9,61,1,71,103,96,107,81,15,86,87,48,42,32,13,74,57,37,68,38,16,21,64,49,84,70,108,109,53,10,47,34,56,104,20,102,41,26,88,72,75,91,79,5,3,17,54,98,97,77,23,92,111,44,65,8,43
1: 69,60,28,22,67,82,18,25,89,63,59,40,31,45,55,4,83,106,30,7,73,78,112,58,6,12,94,36,76,62,52,101,51,35,105,11,66,71,87,86,100,85,14,29,99,46,93,27,80,96,90,2,49,37,81,39,32,110,24,95,61,107,19,15,57,74,109,53,50,104,9,10,13,68,38,33,26,20,70,84,79,21,1,108,47,56,5,72,103,41,16,48,54,91,75,42,3,34,88,102,17,23,64,77,92,98,97,43,111,44,8,65
1: 60,28,55,22,67,82,59,63,40,30,4,89,69,106,31,12,6,86,83,51,2,7,71,73,27,18,25,100,78,36,94,87,112,101,35,99,57,45,85,105,58,66,62,76,80,46,14,96,61,81,38,90,52,49,37,110,107,39,24,19,20,29,95,32,16,11,53,9,70,108,74,10,15,68,26,21,33,56,50,109,13,42,84,104,103,54,91,5,48,17,93,1,79,72,34,47,41,64,88,75,23,3,102,77,98,111,92,43,97,8,44,65
1: 60,67,82,59,28,22,55,63,69,30,4,106,83,89,40,86,7,51,6,71,25,31,36,73,105,27,18,94,12,57,87,99,112,100,58,101,76,66,62,2,90,29,45,46,78,39,52,85,61,95,110,80,49,33,35,37,16,19,96,81,24,107,108,14,20,15,38,32,84,68,11,21,13,10,74,26,17,9,48,54,79,103,42,56,41,53,109,91,50,70,5,72,93,1,34,104,64,47,88,23,3,75,98,77,65,102,43,92,111,97,44,8
1: 28,60,67,82,69,63,22,55,30,83,51,7,4,59,40,86,31,89,106,18,25,36,6,105,57,12,90,45,27,87,101,94,46,100,71,73,62,66,78,58,2,29,96,99,24,19,112,39,108,26,85,16,13,11,49,42,84,110,52,33,76,41,80,35,15,32,95,21,68,61,37,20,81,38,9,10,74,91,107,48,104,79,14,103,54,56,93,64,109,70,1,5,53,50,23,88,47,92,17,43,77,65,98,34,72,102,3,111,75,97,44,8
1: 60,28,82,67,55,40,83,63,69,22,7,31,36,4,86,51,18,105,59,2,90,89,94,30,106,25,87,71,100,6,46,12,45,24,27,96,29,99,66,78,101,58,108,61,110,19,73,39,57,11,62,85,41,112,68,84,49,95,32,13,35,80,26,33,9,74,76,15,21,37,16,81,42,79,107,54,20,38,56,53,52,10,104,91,103,64,1,93,48,14,70,77,47,109,34,17,5,88,43,23,92,50,65,98,102,111,72,3,75,97,44,8
1: 60,67,55,82,63,69,83,106,28,18,31,86,22,51,40,7,59,89,36,30,105,71,96,24,94,6,90,25,2,19,4,66,78,87,27,101,46,99,100,73,12,29,58,45,35,108,57,95,26,84,49,110,62,13,80,112,11,61,85,39,76,68,41,37,33,74,9,54,16,32,15,107,38,48,52,21,42,104,81,103,53,20,17,56,79,10,70,47,1,77,93,34,109,14,98,65,91,64,23,92,111,5,88,50,102,43,3,72,75,44,97,8
1: 60,55,67,82,63,69,83,106,28,22,51,18,59,36,40,24,31,89,30,71,96,4,90,78,12,7,66,94,105,19,86,6,87,101,25,27,2,46,100,73,58,99,45,35,95,108,29,57,110,41,84,80,49,85,9,11,26,54,62,13,112,38,107,37,33,68,52,61,32,103,16,15,48,76,39,74,42,81,21,53,20,34,70,104,17,79,47,1,109,14,56,77,93,98,65,10,91,92,102,3,64,23,5,88,72,50,75,44,111,8,43,97
1: 60,55,67,82,69,63,51,83,106,28,22,36,40,31,18,7,30,59,4,105,94,71,24,19,96,12,66,90,101,86,6,87,25,89,78,100,73,46,2,99,29,45,35,49,110,108,48,27,58,84,95,68,62,57,85,13,41,61,38,112,11,52,33,9,74,26,107,39,42,76,32,15,103,16,1,80,17,93,37,104,81,79,70,64,54,20,91,21,34,77,109,14,56,53,102,65,92,3,23,98,10,111,47,5,72,44,88,75,43,50,8,97
1: 60,82,67,55,63,69,51,106,36,22,18,96,28,83,31,4,94,105,71,86,90,30,6,40,12,66,87,19,59,24,99,25,89,78,100,101,58,7,2,29,46,49,45,48,27,73,35,108,57,95,41,33,13,62,84,85,110,68,107,61,112,76,11,1,39,38,52,42,81,32,9,26,80,74,15,16,64,17,79,103,37,54,93,77,70,20,56,53,34,104,14,21,109,102,92,91,65,111,47,5,23,3,98,10,44,88,72,75,43,50,8,97
1: 82,67,69,63,55,51,36,60,106,90,25,83,6,4,105,96,28,71,18,86,22,31,40,94,12,27,99,66,59,87,24,46,30,78,45,49,29,7,100,101,89,2,19,58,57,48,13,35,85,95,110,41,73,62,84,74,33,107,9,68,76,81,11,1,53,37,38,42,108,112,32,26,61,80,15,52,77,64,17,79,70,54,16,103,34,56,104,92,109,93,21,20,91,3,39,102,65,14,98,5,10,111,47,23,75,44,50,88,72,8,43,97
1: 82,67,55,63,69,60,90,25,106,36,51,83,28,6,4,105,71,18,22,31,40,12,66,96,87,78,27,94,59,46,30,86,89,24,49,99,101,45,19,7,29,2,100,58,57,13,73,85,41,95,110,62,35,74,33,108,48,42,107,81,32,76,84,68,64,37,53,61,9,11,26,1,80,17,112,56,38,15,54,52,92,34,109,79,103,16,70,93,104,47,91,20,77,21,3,39,65,10,102,111,98,14,50,23,75,43,5,44,88,8,72,97
1: 82,67,55,69,60,106,36,63,25,51,105,28,78,90,6,83,4,18,71,40,24,31,22,27,96,87,94,46,30,86,12,59,99,49,101,89,66,58,7,45,2,29,57,85,35,41,48,33,100,19,73,32,95,13,74,107,81,110,62,42,76,9,26,108,112,84,1,64,61,37,80,56,16,20,68,11,53,92,103,54,17,34,38,52,15,104,79,111,109,91,47,70,21,10,77,93,3,98,39,65,50,14,102,23,5,88,75,44,8,43,72,97
1: 82,67,55,69,60,36,63,25,51,78,90,105,96,106,28,6,24,31,83,4,30,94,46,71,22,40,18,12,86,87,59,89,99,45,49,27,101,66,29,35,2,58,57,85,41,7,48,33,100,19,73,32,13,74,107,81,95,110,62,42,76,9,26,108,112,84,64,61,37,1,80,56,16,20,68,11,53,92,103,54,17,34,38,52,15,104,79,111,109,91,47,70,21,10,77,93,3,98,39,65,50,14,102,23,5,88,75,44,8,43,72,97
1: 67,69,60,82,55,36,63,106,25,51,78,90,105,96,28,6,24,31,83,4,30,94,71,87,46,22,40,18,12,86,59,99,89,45,49,27,101,66,29,35,57,2,58,85,41,7,48,33,100,19,73,32,13,74,107,81,95,110,62,42,76,9,26,108,112,84,64,61,37,1,80,56,16,20,68,11,53,92,103,54,34,38,17,52,15,104,79,111,109,91,47,70,93,21,10,77,3,98,39,65,50,14,102,23,5,88,75,44,8,43,72,97
1: 60,69,28,63,25,82,7,55,67,45,35,22,106,30,59,31,73,46,100,51,101,40,18,4,27,36,89,24,83,29,57,86,105,6,87,96,78,58,11,99,94,90,112,110,42,80,76,107,15,12,13,52,103,66,2,62,19,33,95,81,71,50,37,85,14,68,74,70,9,61,64,10,48,32,1,49,109,102,47,21,39,79,108,38,84,56,75,41,5,3,104,34,26,16,53,93,17,20,23,72,77,91,111,88,54,92,98,97,43,65,44,8
1: 60,69,28,63,82,67,7,55,25,22,59,45,31,30,40,106,18,51,89,35,4,36,73,83,78,46,100,86,6,29,11,58,96,90,101,99,94,112,80,12,105,57,52,110,66,24,107,15,71,19,27,62,2,85,37,81,49,87,13,32,42,48,103,47,76,70,68,74,33,50,109,9,1,79,104,61,14,10,64,102,26,21,95,108,53,84,39,75,38,41,34,3,16,56,72,5,93,23,17,20,77,111,91,97,43,98,88,54,92,65,8,44
1: 60,28,63,82,69,55,67,7,31,22,40,86,59,51,30,4,87,100,25,83,106,36,45,89,35,73,12,6,78,46,110,99,112,57,101,94,85,105,71,18,2,66,27,37,24,107,90,96,58,29,14,76,11,80,103,13,38,62,49,32,42,52,15,48,19,20,81,53,5,39,74,70,56,33,47,108,50,61,68,1,109,26,54,10,9,16,79,64,21,84,95,91,104,102,34,111,23,75,41,88,92,3,93,17,72,77,43,98,97,8,44,65
1: 60,28,82,69,67,63,7,55,31,22,4,86,30,59,51,40,36,83,12,106,89,25,110,46,45,100,71,105,87,29,112,6,37,99,107,57,73,66,18,35,90,58,78,27,94,2,24,48,103,76,85,101,19,15,11,13,52,96,62,49,38,80,14,32,42,68,5,81,33,10,20,16,95,91,108,39,74,54,84,53,61,41,56,79,70,47,9,104,109,26,1,50,21,64,93,102,17,43,34,23,111,92,88,3,75,72,65,77,98,97,44,8
1: 28,60,82,69,63,67,31,7,86,55,51,83,36,22,30,89,106,46,4,40,25,110,59,90,45,12,57,66,100,78,18,19,29,94,71,73,87,6,58,105,112,24,11,99,85,37,96,101,62,13,107,2,27,103,68,42,48,35,38,91,76,52,15,32,49,108,41,5,16,80,14,56,20,10,104,26,33,54,21,84,39,74,43,81,109,79,95,70,111,64,53,23,61,92,9,1,47,93,65,17,50,34,88,102,3,98,72,77,75,97,44,8
1: 60,28,69,67,82,63,31,55,36,51,86,40,7,83,4,90,89,110,106,25,46,22,66,30,18,105,6,94,71,12,87,24,59,2,58,45,73,100,96,78,85,29,19,27,13,99,103,112,57,11,37,41,68,62,54,35,49,101,107,32,48,42,108,26,10,38,39,76,80,74,95,56,52,91,15,43,79,84,16,5,53,33,104,20,9,64,61,21,14,81,47,111,88,23,109,92,70,1,93,65,77,17,34,75,50,102,3,98,72,97,8,44
1: 60,67,55,63,82,69,28,51,31,86,83,90,106,36,66,110,22,24,18,71,4,40,25,46,7,89,6,30,12,96,73,19,78,94,105,27,59,85,99,87,103,13,54,2,58,57,11,62,45,29,35,49,100,101,38,112,26,37,76,95,84,68,41,15,48,74,108,107,104,32,42,39,16,10,111,80,47,56,33,52,91,53,23,43,79,65,20,61,9,21,64,5,17,14,81,34,88,109,92,70,77,93,98,1,75,50,3,102,72,8,44,97
1: 60,55,82,63,67,69,51,28,90,36,106,24,83,110,4,22,31,89,12,6,78,40,30,18,86,66,71,25,94,46,73,59,99,96,2,54,7,19,85,13,27,57,87,103,105,95,101,62,58,45,108,35,49,38,15,11,100,74,29,42,107,26,91,37,112,41,47,76,48,84,68,9,32,104,80,16,111,39,52,34,53,33,56,92,65,81,79,109,23,43,10,5,70,93,20,17,61,98,21,64,14,88,3,77,1,44,8,75,102,72,50,97
1: 55,60,67,69,82,51,63,28,83,36,106,90,110,31,40,24,71,86,22,94,4,12,59,18,7,73,25,30,6,85,78,96,13,66,105,87,101,99,62,89,46,57,19,2,58,27,38,74,35,54,15,45,91,103,48,95,29,108,100,49,68,41,26,11,112,9,107,111,42,84,47,76,93,37,79,61,104,64,39,16,92,32,17,52,65,56,43,109,33,80,23,77,34,5,14,20,53,81,1,70,10,44,98,3,21,88,8,75,102,72,50,97
1: 67,60,55,63,82,69,36,51,106,90,31,28,94,4,24,71,83,22,86,18,96,40,85,6,25,30,12,13,99,105,87,58,62,19,57,110,78,2,59,7,89,73,27,95,101,66,45,41,15,46,54,48,107,74,35,100,111,29,108,49,38,103,79,47,68,64,77,61,26,92,91,9,42,11,84,32,81,112,5,93,34,37,1,76,33,70,20,17,39,16,56,80,65,104,52,53,109,23,43,14,44,21,98,10,88,3,8,75,102,72,50,97
1: 69,67,63,82,55,36,90,51,106,60,28,83,94,4,25,71,18,24,6,31,86,96,99,12,105,13,40,22,62,110,57,27,87,85,2,45,95,30,101,78,59,58,46,7,19,66,41,15,107,73,89,74,54,100,35,47,48,77,103,9,49,92,38,68,64,91,81,29,111,5,79,108,11,42,61,37,104,112,53,26,76,1,109,32,93,84,33,34,70,17,80,39,56,20,3,16,52,10,65,14,44,23,98,21,43,88,8,75,102,50,72,97
1: 69,67,82,55,63,36,60,90,25,83,51,94,6,18,71,106,31,4,96,24,28,105,12,40,22,62,57,87,86,110,78,85,30,13,99,101,46,2,27,95,41,73,107,74,58,45,89,59,15,7,19,64,47,54,66,35,100,81,29,108,49,68,91,61,48,103,77,92,109,26,37,9,33,32,38,111,42,56,53,79,5,11,76,93,1,10,104,112,34,17,84,80,70,23,21,3,43,20,52,39,16,65,14,44,98,50,88,8,75,102,72,97
1: 69,67,55,82,36,60,63,51,24,94,90,96,25,31,4,105,71,78,30,28,18,83,6,106,57,22,62,46,40,86,110,99,85,12,101,35,87,41,27,2,74,59,73,13,45,95,107,89,54,49,47,58,29,15,64,7,48,19,61,66,33,81,103,26,32,77,9,109,100,5,111,10,108,76,68,91,92,37,20,56,42,38,79,53,1,52,16,11,112,104,93,34,17,70,23,21,84,50,80,3,98,88,8,43,39,65,14,44,75,102,72,97
1: 67,69,60,63,55,36,82,40,106,51,24,31,28,25,18,22,71,96,87,94,86,6,4,90,89,83,30,105,62,59,110,46,78,99,12,2,85,58,45,66,19,73,35,13,27,101,7,57,29,100,49,54,74,107,32,41,26,15,92,48,95,33,68,81,108,37,112,77,61,84,103,64,9,47,109,1,91,20,76,38,16,42,17,111,56,53,52,34,11,79,104,21,80,3,70,39,93,23,50,5,10,14,65,43,98,44,102,88,75,72,8,97
1: 67,82,60,69,63,105,106,25,36,28,55,40,51,22,31,24,90,6,18,96,83,12,27,89,94,71,87,78,30,86,59,58,46,7,62,4,66,99,45,100,49,29,2,85,26,73,101,19,35,33,57,48,32,81,68,13,54,110,76,112,42,64,95,84,77,80,20,16,9,74,108,41,38,107,11,15,52,56,47,61,109,37,1,103,79,34,53,104,17,23,91,92,3,70,21,102,111,98,50,93,88,14,5,65,10,39,44,75,43,72,8,97
1: 25,82,67,60,69,63,28,100,73,55,7,59,4,18,35,22,27,83,45,106,58,51,40,31,101,6,24,90,36,89,29,15,105,12,30,78,80,110,94,11,109,76,112,19,46,62,13,66,81,86,95,85,52,71,57,2,42,68,99,32,61,107,33,50,47,96,64,87,103,9,49,48,5,14,102,39,21,1,84,74,108,70,91,16,104,38,34,37,77,56,23,3,75,20,93,79,98,10,72,53,111,54,17,26,97,88,41,44,8,92,65,43
1: 25,82,67,60,69,63,28,100,73,55,7,59,4,18,35,22,27,83,45,106,58,51,40,31,101,6,24,90,36,89,29,15,105,12,78,30,80,110,94,11,109,76,112,19,46,62,13,66,81,86,95,85,52,71,57,2,42,68,99,32,61,33,107,50,47,96,64,87,103,9,49,48,5,14,102,39,21,1,84,74,108,70,91,16,104,38,34,37,77,56,23,3,75,20,93,10,79,98,72,53,111,54,17,26,97,88,41,44,8,92,65,43
1: 82,60,18,69,67,28,25,63,31,89,59,55,7,22,83,4,73,40,100,58,106,6,51,62,45,27,30,36,29,90,101,78,12,15,94,11,35,105,85,80,110,37,46,66,86,2,52,76,71,112,13,109,19,32,99,107,9,96,68,81,87,104,95,61,49,47,50,42,57,24,5,103,14,84,74,21,48,64,108,33,70,102,1,26,23,39,20,91,38,3,34,77,75,79,93,53,10,56,72,16,98,54,17,111,41,97,43,44,88,8,65,92
1: 82,60,67,28,63,25,69,59,27,55,18,100,7,73,30,31,22,4,89,83,51,2,40,106,6,58,36,90,101,12,78,94,85,35,86,80,15,62,45,105,66,46,110,71,57,87,112,19,38,24,99,20,29,81,109,37,32,61,76,107,96,68,9,95,49,42,16,108,13,47,11,50,5,103,64,52,48,54,33,21,14,74,70,84,23,102,34,1,104,56,91,39,26,17,77,53,3,79,10,88,93,72,98,111,75,41,43,44,8,65,92,97
1: 82,60,67,28,63,69,25,7,27,89,59,31,18,55,4,83,30,22,51,100,106,40,6,58,36,73,90,101,71,15,94,110,105,12,45,29,62,78,86,66,80,35,46,2,37,19,87,85,76,112,52,57,24,99,20,68,32,107,103,96,84,61,11,95,49,13,42,38,9,109,81,108,33,47,64,48,21,16,50,39,74,104,5,54,23,70,34,1,102,17,26,14,56,91,79,77,10,3,93,72,41,88,98,111,75,53,65,97,43,92,8,44
1: 82,60,28,67,63,18,69,7,25,31,55,59,83,4,51,89,30,22,27,100,40,6,106,73,36,90,62,78,101,58,12,105,86,94,29,66,110,46,45,85,15,2,19,87,57,112,80,71,24,42,35,38,96,9,99,32,13,103,84,109,68,76,49,108,16,81,61,52,64,20,37,26,95,107,11,48,91,47,33,54,21,5,74,39,50,23,41,70,104,1,56,14,102,10,77,88,79,93,34,3,111,17,53,98,43,65,92,75,72,97,8,44
1: 82,60,67,28,63,69,18,55,25,31,7,27,40,83,4,22,36,51,100,89,59,2,30,106,90,78,58,110,73,105,94,6,86,12,71,62,101,85,46,66,87,45,29,15,19,80,99,112,32,24,84,42,57,96,35,68,76,38,61,108,9,13,49,95,11,107,81,16,103,20,33,37,64,54,74,47,26,48,52,21,39,5,109,77,41,91,23,56,1,34,79,104,102,70,50,17,53,10,88,14,93,111,65,98,3,72,43,75,92,97,44,8
1: 82,60,67,63,28,69,55,7,18,25,31,83,106,89,59,51,40,30,22,36,27,100,4,90,24,73,6,78,19,105,94,86,101,12,58,110,62,46,66,87,71,45,29,85,108,2,15,99,112,80,57,84,96,38,49,35,13,68,42,103,76,37,26,32,9,11,95,107,20,54,16,48,52,109,61,74,33,47,81,41,23,104,21,64,39,5,77,65,91,56,1,70,102,98,50,111,34,14,10,79,17,53,93,88,3,43,75,72,92,44,97,8
1: 82,60,67,28,63,69,83,55,18,25,40,36,31,51,106,22,89,59,4,30,12,7,90,27,100,24,6,78,73,105,110,19,58,66,94,2,101,46,87,62,71,29,45,85,108,99,80,112,15,96,42,84,57,38,35,49,32,103,86,95,68,9,11,13,76,61,48,37,16,54,26,107,81,74,52,41,33,47,109,20,3,77,21,64,5,23,56,102,34,1,104,70,53,65,98,14,91,79,39,17,92,10,50,88,93,111,75,43,44,72,8,97
1: 82,60,67,63,69,28,55,83,106,31,51,40,36,25,22,7,18,30,59,24,90,4,12,6,100,73,19,89,78,105,110,94,27,101,66,87,62,71,58,85,46,2,29,68,108,99,86,49,15,112,96,45,35,84,38,48,57,13,95,42,80,76,32,103,11,33,9,26,61,16,52,107,74,64,81,109,20,54,1,3,41,23,77,104,17,37,5,91,79,47,56,21,102,70,65,93,34,111,53,14,98,39,10,50,92,44,88,43,75,72,8,97
1: 82,60,67,63,69,106,36,55,31,18,51,83,25,28,40,22,90,4,24,30,12,7,59,6,96,19,100,89,94,105,78,66,27,58,71,87,62,101,99,29,2,45,108,73,46,49,68,110,15,35,57,48,112,81,85,84,13,86,38,42,80,77,95,32,33,76,11,107,9,16,52,61,103,54,26,74,37,109,20,64,1,41,79,47,17,56,23,21,5,104,102,65,39,34,92,70,93,98,14,91,53,111,3,10,50,44,88,75,43,72,8,97
1: 82,67,63,69,60,28,36,55,106,51,27,83,25,31,40,90,22,4,18,12,24,6,59,30,78,89,105,7,100,99,94,66,71,96,62,87,19,46,101,58,29,2,45,110,68,49,73,13,85,48,15,35,57,84,112,86,95,38,80,42,81,33,108,77,76,32,11,9,64,26,103,16,54,52,109,74,1,61,107,53,37,79,41,3,104,20,91,34,56,102,70,5,23,47,17,92,21,65,98,14,111,10,50,93,39,44,75,88,43,72,8,97
1: 82,60,67,63,69,36,55,106,25,31,83,90,28,40,51,22,18,4,12,105,6,27,24,96,59,78,30,94,7,66,89,71,100,19,62,87,99,101,58,2,110,46,29,45,68,49,13,73,85,86,57,35,81,108,48,15,32,95,64,42,76,33,80,84,112,11,74,41,77,9,107,56,61,26,16,38,52,109,47,53,1,37,54,79,20,103,17,91,92,34,111,102,3,104,21,23,70,65,93,98,14,50,5,39,10,44,43,75,88,72,8,97
1: 82,67,69,60,63,55,36,106,25,51,27,31,28,40,90,6,18,83,22,105,4,24,12,78,59,96,7,94,99,30,71,89,87,62,58,101,46,100,66,49,2,29,45,86,85,73,19,33,35,57,48,32,81,68,13,95,76,112,42,64,84,77,80,20,16,9,108,26,38,74,107,11,41,15,110,54,52,56,47,61,109,1,37,103,79,34,53,17,104,23,91,92,3,70,21,102,111,98,93,50,88,14,5,39,65,10,44,75,43,8,72,97
1: 67,60,69,51,63,82,36,55,106,25,71,22,94,24,28,96,105,86,31,6,90,40,30,87,18,83,4,46,89,62,78,12,27,110,99,101,73,85,2,66,13,35,59,29,57,7,58,26,45,48,49,107,74,32,19,100,41,54,95,81,15,108,9,37,33,77,61,68,64,103,47,20,76,84,16,109,11,42,92,112,17,79,38,56,111,52,91,104,53,80,1,34,5,70,39,98,93,23,65,10,3,21,50,88,14,44,43,102,8,75,72,97
1: 69,28,63,25,60,67,82,55,35,7,45,59,22,40,73,100,30,106,101,31,4,18,27,36,83,58,105,24,51,46,112,89,11,6,76,78,110,29,62,99,90,80,94,86,2,71,12,57,33,66,15,52,96,107,95,87,81,13,50,85,19,14,42,103,109,9,61,74,93,68,47,39,64,37,32,1,21,48,49,70,38,75,84,108,56,79,5,102,104,34,77,3,16,17,10,20,53,91,41,88,72,26,23,54,97,98,111,92,44,43,8,65
1: 28,69,63,25,60,67,82,55,35,7,45,73,59,100,22,40,4,30,101,106,31,18,83,112,36,11,58,89,24,27,51,76,110,46,78,62,105,6,80,99,29,86,71,90,66,33,2,94,52,57,15,12,13,87,107,19,50,81,14,96,95,93,109,85,103,42,61,9,74,64,47,68,39,1,21,48,32,49,37,70,75,38,84,56,108,5,79,104,102,17,77,88,34,20,16,10,91,41,53,3,72,26,54,23,98,97,111,92,8,44,65,43
1: 69,28,60,63,67,82,22,59,55,18,31,89,7,40,25,83,4,45,106,36,30,35,78,51,62,58,11,73,6,86,94,100,71,29,12,85,112,46,99,101,66,80,76,105,52,110,96,2,107,87,90,37,15,81,27,49,24,13,57,19,14,32,109,61,39,104,9,50,93,74,95,33,47,68,103,21,48,70,42,38,84,1,75,5,56,108,26,79,53,10,20,64,17,91,3,54,102,23,72,34,88,41,77,16,97,92,98,111,43,44,8,65
1: 60,28,63,82,22,55,31,67,40,89,4,7,69,59,51,83,86,30,36,100,2,6,78,106,99,35,73,71,94,87,12,66,62,18,46,105,112,25,85,27,57,110,101,45,37,58,38,107,80,49,81,32,90,24,96,29,61,11,14,13,76,20,15,52,19,39,108,74,103,42,48,9,109,56,16,54,50,26,21,84,95,68,33,70,53,104,5,17,47,93,34,64,1,23,88,91,10,79,75,72,41,102,77,3,98,92,111,43,97,8,44,65
1: 60,28,67,82,7,69,4,55,22,63,86,59,83,89,40,30,31,51,36,106,71,105,6,12,46,99,66,100,25,2,62,73,110,18,87,29,112,94,27,37,57,107,49,90,58,45,78,85,20,24,19,15,76,35,48,52,38,101,13,84,32,96,61,80,103,39,16,108,11,42,81,74,33,95,26,17,68,54,14,109,21,56,34,10,41,5,79,93,9,23,104,91,64,50,47,70,72,1,43,53,3,88,77,65,102,111,75,98,92,97,44,8
1: 60,28,67,7,82,69,63,86,55,31,83,22,30,51,89,36,46,4,40,59,12,90,106,6,71,66,19,2,29,62,18,100,25,112,110,78,105,87,26,24,94,96,32,73,48,45,57,20,99,37,107,108,13,84,27,11,85,16,49,103,58,42,41,101,38,91,39,15,68,54,52,76,104,56,43,23,33,109,95,61,35,79,80,74,5,10,21,64,14,81,93,92,65,17,111,9,70,34,47,88,53,77,98,1,72,50,3,102,75,44,97,8
1: 60,28,67,55,82,69,86,40,63,83,7,31,89,36,51,22,4,90,2,46,6,106,66,71,105,30,18,19,24,12,25,110,87,59,96,94,29,13,85,73,78,100,27,32,39,26,62,37,84,112,99,49,45,58,41,108,48,107,103,11,95,57,74,61,16,68,20,101,54,15,42,38,56,64,35,104,43,91,79,33,76,77,80,52,10,23,9,81,53,65,21,109,93,14,111,92,17,47,34,88,5,1,98,70,50,3,102,75,72,8,97,44
1: 60,55,82,67,28,86,69,83,63,31,106,51,22,89,24,90,40,66,6,36,7,18,71,4,96,46,19,30,94,2,105,110,25,73,59,12,87,27,78,62,13,26,85,29,84,99,101,37,103,112,49,32,100,35,54,108,45,95,11,58,48,38,16,57,39,74,107,41,15,76,68,61,104,20,42,65,33,17,80,23,77,34,64,52,111,56,9,79,43,81,91,109,10,53,98,47,92,93,14,21,5,88,70,1,50,3,102,75,72,8,44,97
1: 60,82,55,67,28,69,63,106,83,51,22,24,90,36,89,31,6,4,40,30,66,18,96,71,86,46,94,12,59,2,7,110,78,25,105,19,73,27,101,85,99,87,62,13,29,108,84,95,26,37,49,32,45,58,103,112,100,57,54,15,107,38,48,35,74,41,16,11,42,9,68,34,61,39,104,76,80,65,81,20,33,109,52,98,77,47,92,91,17,79,56,23,64,53,93,3,10,43,111,70,14,21,5,1,88,8,102,44,75,72,50,97
1: 60,55,82,67,69,28,106,63,83,51,22,36,31,90,40,24,6,94,4,86,71,30,96,7,18,89,66,59,73,25,12,105,101,46,110,87,2,19,85,62,78,99,13,29,27,100,48,58,84,49,108,45,57,68,35,15,95,38,26,74,112,107,32,37,103,41,16,11,61,42,9,79,54,64,39,76,65,17,77,93,104,20,52,81,91,33,109,92,47,34,80,56,111,98,23,3,53,14,70,1,10,43,44,5,21,102,88,8,75,50,72,97
1: 60,82,67,55,69,63,106,51,36,22,28,90,31,96,83,4,18,6,86,94,40,24,71,30,25,105,89,87,12,66,99,7,59,19,85,2,13,62,101,46,58,73,27,78,29,110,45,100,48,57,49,15,107,108,95,35,84,74,26,41,32,68,79,77,61,37,112,38,81,54,64,103,11,9,16,42,33,92,39,17,47,76,20,93,111,109,52,104,34,1,80,91,65,56,70,5,98,23,53,21,3,14,44,43,10,88,102,8,75,50,72,97
1: 82,69,67,55,63,60,106,51,36,28,90,83,6,96,4,18,22,25,86,31,94,71,24,40,105,87,99,13,30,12,27,66,59,46,2,62,89,101,7,45,85,19,78,100,110,73,57,58,29,95,48,107,49,15,74,35,41,77,81,68,84,37,9,108,26,112,32,38,64,79,54,11,103,61,92,16,33,42,109,104,17,76,47,91,53,52,20,39,93,111,34,80,1,5,70,56,65,98,3,23,10,21,14,44,43,102,88,8,50,75,72,97
1: 82,67,69,55,60,63,106,36,90,28,83,51,25,18,4,71,22,6,40,31,94,96,86,24,30,87,105,12,66,13,89,46,27,62,99,2,101,78,59,7,73,85,57,19,110,45,29,107,58,100,95,74,49,41,15,48,35,108,81,32,37,26,68,64,61,54,84,9,77,11,33,47,112,103,42,92,109,38,79,17,76,16,56,91,104,53,111,80,93,20,52,34,39,1,70,65,5,21,3,23,98,10,43,14,44,50,102,88,8,75,72,97
1: 82,67,69,55,60,106,36,63,51,28,18,25,90,83,71,94,6,4,31,86,40,24,105,96,22,87,30,46,27,99,89,101,78,66,2,12,59,62,7,73,57,85,29,13,45,49,110,74,19,41,58,48,107,35,95,32,100,26,81,33,15,108,37,68,61,9,54,77,84,64,103,20,112,47,16,76,11,42,109,79,92,17,38,56,104,111,52,53,91,34,80,39,93,1,5,70,98,23,10,21,3,65,50,88,14,44,43,102,8,75,72,97
1: 82,67,69,55,60,36,63,106,51,28,90,94,31,4,30,24,96,25,83,71,22,6,18,105,86,40,46,78,99,101,89,87,66,12,62,59,2,27,57,73,85,29,45,13,35,49,7,110,74,19,41,107,48,32,100,58,95,26,81,33,15,108,61,37,9,68,54,64,77,103,84,20,47,112,16,76,42,11,109,79,92,38,56,17,104,111,52,91,53,34,80,93,70,1,98,5,39,23,21,65,10,3,50,88,14,44,43,8,102,75,72,97
1: 69,67,82,60,55,106,63,36,51,28,90,94,31,30,71,24,4,96,25,22,83,6,18,105,86,87,40,46,78,101,99,12,66,89,62,2,59,27,73,85,57,29,110,35,13,45,7,49,74,41,19,48,107,32,100,58,95,26,81,33,108,37,15,61,9,68,54,103,77,64,84,20,47,76,16,112,42,109,92,17,11,79,38,56,111,104,52,91,53,80,34,70,5,1,39,93,98,23,10,65,21,3,50,88,14,44,43,102,8,75,72,97
1: 60,67,69,82,63,51,36,55,106,28,25,105,96,22,86,6,71,90,30,94,24,31,83,40,4,18,87,46,89,27,12,78,99,101,73,66,62,7,29,59,45,85,2,110,49,57,35,13,58,48,26,19,32,100,107,95,74,81,41,108,33,68,54,37,61,84,9,64,15,16,77,112,20,42,11,79,103,76,17,47,92,109,56,52,38,53,104,80,34,91,70,39,93,111,1,98,5,23,3,65,21,50,10,14,102,88,44,8,75,43,72,97
1: 60,28,67,55,82,69,63,7,86,83,22,31,40,51,36,4,30,2,90,89,105,59,25,71,106,18,46,100,6,24,78,12,87,66,29,94,110,45,27,96,19,62,73,84,99,57,85,39,112,108,58,32,13,11,49,41,101,37,61,35,107,95,103,16,48,26,54,68,74,76,20,80,15,42,33,38,56,79,52,9,64,104,81,17,93,21,77,91,53,34,23,43,10,47,1,109,111,88,98,14,70,65,5,92,3,50,102,72,75,8,97,44
1: 55,60,67,82,28,69,83,86,63,51,22,31,106,7,89,24,36,30,96,6,66,40,71,4,18,46,90,105,59,19,25,2,78,29,73,87,12,94,84,27,85,110,101,26,49,45,13,100,54,57,32,112,99,95,108,37,62,61,58,48,68,35,103,39,16,11,74,107,41,76,15,20,38,80,23,33,17,77,42,64,9,104,52,79,56,98,65,34,81,111,91,109,10,53,21,43,70,47,14,93,92,3,1,88,102,72,50,5,44,8,75,97
1: 60,82,55,69,67,28,83,22,106,51,63,36,31,89,4,24,66,30,6,96,90,71,18,86,46,7,40,105,59,12,78,19,73,2,94,25,87,101,85,29,27,110,84,95,99,108,32,26,62,45,100,49,57,13,54,37,103,112,35,48,58,38,16,107,11,15,41,68,74,61,39,42,9,20,76,80,77,52,34,98,104,33,81,17,3,65,92,109,64,91,23,56,79,47,53,21,111,10,70,43,14,93,1,102,88,44,5,75,72,8,50,97
1: 60,82,69,55,67,28,83,106,51,63,22,36,31,4,6,24,30,7,90,40,66,86,96,71,89,12,105,18,94,59,101,46,73,87,25,19,2,78,85,110,29,27,99,84,100,62,49,108,13,48,95,68,45,57,26,35,32,58,112,38,74,37,103,15,61,107,16,41,11,54,79,42,64,39,17,9,76,52,20,33,104,77,81,65,34,80,109,91,92,93,98,56,3,23,47,70,53,111,14,10,43,1,21,102,44,5,88,8,75,72,50,97
1: 82,60,67,69,55,63,28,51,106,22,36,96,83,31,6,90,86,4,30,24,18,40,94,71,105,66,7,12,89,25,87,59,101,46,19,78,99,2,85,29,73,27,58,13,100,62,45,49,48,57,84,110,108,95,107,32,68,35,15,41,79,61,26,37,74,112,54,16,38,64,81,103,33,77,11,42,17,9,39,76,52,20,34,109,92,93,70,80,104,47,56,1,91,111,65,98,53,23,14,3,21,5,10,43,44,102,88,8,72,75,50,97
1: 82,69,67,55,63,60,106,28,36,51,90,83,6,96,4,22,86,18,25,71,31,105,24,94,40,30,99,87,12,66,27,59,7,46,101,13,45,2,89,78,29,85,62,100,19,73,49,57,95,58,110,48,107,68,84,74,41,35,15,81,37,32,108,77,79,9,112,26,54,64,61,38,11,16,33,103,42,17,76,92,104,109,52,53,70,20,91,39,34,80,47,93,1,56,98,3,111,65,5,10,21,14,23,102,44,43,88,50,8,75,72,97
1: 82,69,67,55,60,63,106,36,28,90,83,51,4,25,6,22,71,18,96,31,40,86,105,94,12,30,87,24,66,27,101,99,46,7,89,78,59,13,2,62,45,73,29,85,57,19,58,100,49,110,107,95,74,41,48,32,35,68,108,81,37,84,15,64,61,26,11,54,33,9,79,112,77,42,16,103,38,92,17,76,47,109,53,56,104,52,20,91,34,39,80,70,93,111,1,65,98,3,5,21,23,10,14,50,102,43,44,88,8,75,72,97
1: 82,69,67,55,60,106,63,36,28,51,90,83,4,6,25,18,22,96,71,86,31,105,94,40,30,87,24,12,66,101,78,46,27,99,89,7,59,2,73,57,29,45,62,49,85,13,58,19,100,107,95,48,32,110,41,74,35,81,108,68,37,33,26,84,61,64,54,15,9,79,112,16,11,42,77,103,20,92,17,76,109,47,38,56,52,104,53,91,34,39,70,80,93,111,98,1,23,5,65,3,21,50,10,14,88,44,102,8,43,75,72,97
1: 82,69,67,55,60,63,106,36,28,51,90,83,4,6,30,25,22,18,96,71,94,31,105,86,24,40,78,12,46,66,101,87,89,99,27,59,73,7,45,2,57,29,62,49,85,13,19,100,107,48,32,110,41,74,95,35,58,81,108,68,37,33,26,84,61,64,54,15,9,79,112,16,11,42,77,103,20,92,17,76,109,47,38,56,52,104,53,91,34,70,80,93,111,39,98,1,23,5,65,3,21,50,10,14,88,44,102,8,43,75,72,97
1: 82,69,67,60,55,106,63,36,28,51,90,83,4,6,30,25,22,96,18,105,94,71,31,86,24,78,40,46,87,12,101,66,89,99,27,59,73,7,45,29,2,57,49,62,85,13,19,107,100,48,32,95,41,74,35,110,58,81,108,68,33,37,26,84,61,64,9,15,54,79,112,77,16,11,42,103,20,17,92,76,109,47,56,38,52,104,53,34,91,70,80,93,39,111,98,1,23,3,65,5,21,50,10,14,102,88,44,8,43,75,72,97
1: 67,69,60,55,36,51,106,94,71,82,24,25,63,96,110,62,22,40,28,31,105,18,87,90,30,6,86,83,4,13,89,99,85,73,46,2,12,101,78,57,27,54,66,35,59,15,74,26,107,58,41,77,47,19,48,45,32,49,29,81,109,7,95,103,9,64,111,92,61,108,100,37,20,91,33,17,68,11,112,23,16,5,104,38,79,84,53,42,1,56,93,52,34,76,98,65,10,50,70,88,21,44,80,39,3,14,43,8,75,102,97,72
1: 100,40,69,4,59,67,28,35,63,25,83,55,33,45,31,7,99,22,80,18,106,112,19,2,60,58,27,24,36,105,90,30,1,78,49,51,76,52,29,42,96,12,108,6,62,81,48,11,89,71,84,109,73,82,9,38,101,13,77,66,79,68,74,56,86,104,87,46,15,102,95,16,34,50,57,39,37,32,17,47,72,53,94,93,61,70,75,97,107,23,20,26,88,14,103,110,98,85,44,3,21,111,92,64,65,41,10,5,8,43,54,91
1: 4,69,28,40,73,100,59,35,67,55,63,45,25,112,7,33,83,31,80,58,30,99,60,36,2,24,22,62,19,18,78,71,90,109,76,49,1,82,42,51,15,12,29,9,89,86,81,74,101,46,6,50,47,87,77,11,104,57,79,96,39,52,34,13,93,107,61,37,14,66,110,94,75,17,70,108,56,38,102,97,84,48,88,72,68,103,23,16,20,21,32,3,64,26,98,44,111,92,65,53,85,41,54,5,10,91,106,8,105,27,43,95
1: 28,89,59,19,4,80,32,81,96,36,29,66,112,83,78,60,31,26,58,90,49,67,69,40,104,11,99,6,12,52,51,18,71,2,22,37,48,86,15,107,62,55,84,47,94,7,63,82,76,110,20,38,108,61,85,92,87,56,39,17,13,14,73,93,1,54,16,45,33,100,105,9,5,91,106,74,24,25,46,102,77,35,34,30,75,79,53,42,70,72,68,109,57,3,21,98,101,65,41,50,97,23,44,111,64,43,103,8,10,27,95,88
1: 28,89,4,31,83,32,60,99,40,2,112,71,36,6,37,49,22,55,66,78,86,48,51,59,67,38,7,108,12,63,62,20,107,90,82,87,100,73,94,105,69,54,14,110,26,19,16,80,96,24,85,29,39,13,30,42,52,104,11,58,81,57,15,27,106,84,53,23,76,18,35,46,47,56,61,92,1,72,17,101,103,74,34,93,77,33,111,5,91,45,109,10,102,88,68,21,79,9,50,41,98,25,70,43,3,64,44,65,75,97,95,8
1: 4,60,83,28,36,112,89,59,71,86,67,40,31,12,37,22,55,7,66,48,51,82,99,19,107,90,49,105,69,20,110,29,62,32,6,30,2,16,84,94,106,52,78,24,15,108,63,58,100,42,73,46,38,26,18,87,96,54,27,17,103,11,80,93,23,33,39,45,85,104,25,13,57,41,14,81,74,91,76,10,5,34,53,61,92,65,68,72,77,111,56,43,101,47,35,79,1,102,95,9,70,21,3,64,50,109,98,88,75,97,44,8
1: 28,83,89,60,31,7,36,67,86,66,51,19,82,69,40,90,4,55,48,22,112,110,59,62,12,37,63,71,32,94,30,29,106,99,26,2,46,6,78,18,96,24,58,107,16,108,73,100,42,11,20,105,49,25,23,87,84,45,13,91,103,41,52,104,15,85,38,65,54,111,92,56,68,27,57,101,43,33,80,93,17,39,109,5,76,14,64,74,1,70,34,10,81,77,61,79,53,35,21,72,95,47,98,9,102,50,88,3,75,44,97,8
1: 28,89,60,36,67,40,31,51,4,66,55,83,86,69,90,110,19,82,7,18,106,63,2,71,94,22,96,26,24,105,37,46,6,58,48,73,112,13,25,12,62,59,87,32,85,78,49,103,30,29,99,41,27,108,16,100,84,107,39,43,11,23,20,45,104,54,64,15,74,38,42,68,56,61,52,65,101,91,10,80,77,92,95,33,53,79,111,93,35,81,17,57,9,109,88,14,47,5,1,34,76,70,98,75,21,72,102,50,44,3,8,97
1: 60,67,66,55,83,51,86,28,69,31,106,89,82,90,110,36,19,63,24,40,4,18,22,96,71,6,73,62,26,94,46,13,7,2,12,25,99,103,59,85,78,27,49,37,105,30,112,48,84,32,58,87,11,54,15,104,29,23,38,16,101,107,41,108,65,74,100,111,35,45,95,17,39,20,43,57,92,64,77,42,34,33,61,68,52,47,56,53,80,76,10,93,98,91,109,79,81,9,88,14,5,1,70,21,75,102,72,50,8,3,44,97
1: 60,55,67,51,90,106,89,69,28,82,36,63,66,110,83,24,22,4,40,94,73,6,31,18,62,19,96,13,71,12,2,59,99,86,30,25,46,85,78,27,7,15,26,105,37,58,101,103,49,108,107,48,87,112,54,74,95,32,84,16,11,29,41,92,45,35,57,38,104,47,23,65,34,100,42,9,109,98,17,77,93,91,111,39,81,20,33,80,68,53,79,64,52,43,56,76,61,10,70,5,88,1,14,8,44,3,75,21,102,72,50,97
1: 55,60,67,106,69,28,51,82,83,90,36,40,110,63,94,22,31,73,89,18,59,62,24,71,13,66,96,4,86,25,85,6,99,19,12,30,7,2,15,46,101,58,48,105,87,78,74,27,26,49,112,29,107,57,45,35,103,37,108,100,41,38,95,84,54,11,65,9,16,93,32,111,92,77,68,23,47,91,109,79,64,42,104,39,34,17,61,81,98,20,33,52,56,53,80,43,14,1,44,76,10,5,70,3,88,8,75,102,21,50,72,97
1: 55,60,67,69,106,82,36,51,63,90,28,22,94,96,31,83,18,13,4,40,62,71,89,24,25,6,86,99,110,85,59,19,73,30,66,15,58,2,105,87,12,27,7,48,78,46,101,57,107,45,74,26,77,41,54,49,29,92,108,95,111,37,100,112,32,35,47,79,103,64,93,9,81,84,38,61,11,68,34,17,65,16,109,20,104,42,91,23,1,39,5,70,98,33,44,80,53,52,56,14,76,43,10,88,21,75,8,3,50,102,72,97
1: 55,69,67,106,90,82,51,60,36,63,28,13,83,96,94,18,62,25,4,6,99,40,110,22,71,31,24,86,2,89,105,12,27,59,73,15,66,87,85,30,19,58,46,101,107,57,45,74,7,48,77,78,100,95,41,92,54,35,81,47,103,49,9,112,26,29,64,37,111,68,32,109,108,84,38,91,11,79,104,5,93,61,17,16,34,20,53,1,42,23,65,70,33,98,80,39,52,44,76,56,10,14,3,43,88,8,21,75,102,50,72,97
1: 55,67,69,106,82,36,60,63,83,51,90,18,25,94,13,62,28,71,40,31,4,22,96,110,24,6,89,105,12,30,99,66,15,2,87,73,86,85,46,107,59,27,101,57,74,58,19,78,41,7,45,54,47,95,77,100,81,26,48,29,37,92,35,49,64,108,32,109,68,9,103,61,111,91,112,104,11,84,93,17,38,33,23,5,79,53,34,16,1,42,20,56,65,70,80,52,10,39,76,98,44,43,21,3,14,50,88,75,8,102,72,97
1: 55,69,67,82,106,60,36,51,18,94,71,63,62,25,40,83,28,90,31,24,110,96,4,105,22,99,30,13,86,2,6,89,87,46,85,73,12,57,101,59,66,27,74,78,15,41,107,58,45,54,19,7,49,26,47,29,77,32,48,35,95,109,81,103,9,100,37,61,92,64,111,108,33,20,68,91,112,11,16,104,17,5,23,38,84,79,93,1,42,53,56,34,76,98,52,10,70,50,65,39,21,80,88,44,3,14,43,8,75,102,97,72
1: 55,69,67,82,60,36,106,51,94,62,71,28,31,96,24,63,25,18,90,4,83,22,30,110,40,105,99,13,46,6,86,78,85,2,89,12,73,57,87,101,59,66,74,15,27,41,107,35,54,19,45,49,58,29,26,47,77,48,32,7,109,81,95,103,9,64,61,100,37,111,92,108,33,20,68,91,112,11,16,104,5,17,38,23,79,93,84,42,53,1,56,34,76,98,52,70,10,50,65,88,21,80,44,39,14,3,43,8,75,102,97,72
1: 67,69,55,106,60,82,36,51,94,71,62,31,24,28,96,63,25,18,110,90,4,22,83,30,40,87,105,99,13,46,6,86,2,85,73,89,12,101,78,66,59,74,57,27,15,41,107,35,54,19,45,26,77,58,47,49,29,48,32,7,109,81,95,103,9,64,92,100,61,37,111,108,20,33,17,68,91,112,11,104,16,38,5,79,23,84,42,53,1,56,34,93,76,98,52,70,50,10,65,21,88,80,44,39,14,3,43,8,75,102,97,72
1: 60,69,28,67,63,22,55,82,7,31,59,25,18,45,51,46,89,40,35,73,106,30,4,83,36,107,101,78,94,100,15,86,6,27,96,57,29,58,24,12,62,87,85,81,110,80,42,99,105,103,76,52,66,2,37,11,74,90,95,14,39,71,19,13,21,109,32,70,47,50,9,112,33,48,61,79,38,64,49,102,56,1,75,68,97,84,5,3,26,108,34,23,41,10,20,104,72,91,92,44,53,88,77,54,98,17,93,16,43,65,111,8
1: 60,55,28,67,22,69,63,31,59,82,7,51,30,40,89,4,106,18,46,73,35,36,83,25,100,45,86,78,107,57,27,94,101,6,2,87,12,62,15,24,85,96,99,110,58,105,42,81,37,80,103,66,90,76,29,71,14,52,74,13,32,39,95,38,19,48,112,21,109,11,70,9,49,50,61,20,108,33,56,47,64,79,1,102,5,68,23,26,34,84,75,10,41,53,72,16,92,54,91,88,97,44,3,111,104,77,17,98,93,43,65,8
1: 60,55,28,59,31,22,7,82,69,67,89,106,4,51,86,40,63,30,36,83,18,46,94,107,73,27,25,45,105,110,62,100,12,99,78,57,29,35,71,15,58,6,37,101,24,87,66,2,85,103,90,42,52,96,48,80,81,19,76,112,74,32,95,13,38,39,14,49,20,33,21,84,109,5,108,11,47,9,61,70,68,56,64,23,10,26,16,79,41,91,1,17,102,34,92,54,65,50,72,93,43,88,111,3,104,77,98,53,8,75,44,97
1: 67,60,36,69,51,63,94,55,24,71,82,106,25,40,22,31,90,96,83,18,87,6,86,89,105,30,28,110,46,78,12,62,2,99,66,35,54,58,26,4,101,73,57,59,13,27,85,107,49,29,45,74,41,7,48,103,19,15,47,95,32,64,81,108,77,68,9,61,92,20,33,100,11,53,37,111,42,56,38,109,76,16,84,91,112,1,17,93,79,3,5,104,52,50,21,23,43,88,98,39,80,34,65,10,8,14,44,70,75,102,97,72
1: 25,69,82,28,60,67,63,7,35,55,73,46,45,22,40,106,30,101,36,59,31,27,51,6,58,4,18,83,24,86,105,96,107,87,29,57,100,12,11,89,76,78,95,94,62,103,15,110,66,80,2,42,52,13,33,99,90,32,85,39,50,109,81,74,37,21,56,19,112,14,47,1,64,61,68,71,75,9,84,108,79,102,48,70,49,5,38,53,34,3,43,97,77,16,91,10,72,104,41,20,17,26,23,98,54,44,93,111,88,65,8,92
1: 69,60,82,28,67,63,7,25,55,22,40,59,36,45,18,35,73,46,106,31,30,101,51,6,4,58,83,86,96,27,107,89,87,24,29,105,12,11,76,62,78,100,94,99,57,95,103,80,15,110,66,2,52,13,90,32,85,39,33,81,37,112,50,71,109,56,19,42,74,21,14,47,1,64,61,68,84,108,75,9,48,49,79,102,70,5,104,38,53,34,3,43,97,77,91,26,10,72,20,17,16,41,54,93,23,98,44,111,92,65,88,8
1: 60,82,28,67,63,7,55,69,22,40,59,36,31,30,51,6,4,46,106,83,86,89,73,101,99,45,27,18,25,35,62,87,12,78,2,100,57,107,96,58,94,24,105,103,29,76,66,110,15,80,32,85,112,37,71,49,14,48,13,108,90,38,20,42,95,16,11,81,39,19,52,109,50,54,56,74,61,1,33,21,64,47,68,84,75,53,9,23,79,102,70,5,104,34,3,91,43,26,111,88,10,77,72,17,41,93,92,98,44,65,97,8
1: 60,82,67,28,7,55,63,69,22,40,59,36,31,30,51,4,46,106,6,83,86,89,99,12,71,62,45,27,18,25,73,107,101,87,58,2,94,105,103,29,78,66,110,100,57,96,48,84,15,24,112,37,33,19,49,20,76,35,80,32,16,85,90,95,38,52,42,13,108,11,39,109,54,56,74,65,14,81,17,41,61,1,21,68,50,64,47,75,53,9,79,23,102,70,5,104,34,3,91,43,88,26,111,10,77,93,72,92,98,44,97,8
1: 60,82,28,67,7,55,63,69,22,40,36,31,30,51,83,46,59,86,89,106,6,4,25,18,62,45,12,73,101,90,71,27,99,58,87,94,2,66,110,78,105,57,96,100,103,29,48,24,107,19,84,15,20,112,32,85,42,33,49,76,41,37,35,80,13,108,11,38,16,95,52,26,91,39,109,54,56,74,65,81,68,21,64,104,14,23,61,1,50,47,53,92,17,111,75,9,79,102,70,5,43,88,93,10,98,34,3,77,72,44,97,8
1: 60,82,28,67,55,40,36,63,7,69,31,51,83,22,46,86,89,4,106,6,2,90,30,18,25,59,71,73,110,66,94,62,58,27,87,12,99,45,78,24,105,96,101,103,100,29,48,13,19,107,85,61,57,49,41,84,35,37,112,108,32,16,11,15,33,80,76,42,95,26,39,38,74,20,54,53,52,64,91,56,68,81,47,77,109,43,65,88,10,104,14,23,21,92,111,79,9,75,17,5,93,34,1,102,50,70,98,44,97,8,72,3
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1: 60,82,67,55,63,69,51,40,106,28,83,22,36,90,31,6,30,18,25,94,110,86,59,46,89,12,7,24,87,71,73,62,96,4,66,2,99,78,19,101,58,45,13,85,105,57,48,29,27,103,35,107,49,15,74,108,26,84,41,112,100,38,68,64,54,11,95,47,42,16,32,93,37,61,9,76,3,109,33,81,20,52,92,65,56,91,39,104,53,23,1,80,111,17,77,44,79,98,34,88,5,14,43,10,8,70,75,21,102,72,97,50
1: 60,82,67,55,63,69,51,36,106,22,90,31,40,83,28,6,30,18,86,25,94,96,71,89,24,87,12,4,99,59,46,110,2,62,58,19,7,78,66,73,45,13,101,85,105,57,27,48,29,107,35,15,49,74,108,26,103,41,64,54,84,112,81,100,68,11,95,47,32,38,42,77,1,79,93,61,37,92,20,111,9,16,76,33,3,109,52,56,39,53,91,80,17,104,23,34,5,21,65,44,88,70,98,14,43,10,75,8,102,72,97,50
1: 82,67,55,63,69,51,36,60,106,90,83,40,25,28,6,18,22,86,31,94,96,71,24,87,46,30,12,4,99,89,110,2,62,27,13,66,59,58,45,101,19,78,7,105,57,107,35,73,85,48,29,15,74,103,41,64,54,49,81,100,68,11,95,47,26,53,108,84,112,38,92,77,32,42,9,1,79,93,61,37,20,111,76,91,3,109,16,104,5,33,52,80,56,39,17,23,34,21,65,44,88,70,98,14,43,10,75,8,102,50,97,72
1: 82,67,55,63,69,36,60,106,83,40,90,25,51,18,22,31,94,71,28,6,24,87,46,30,86,12,4,89,66,96,110,2,62,58,78,13,99,105,27,101,57,7,107,73,59,45,19,85,29,15,35,74,41,54,49,64,81,108,48,103,68,95,47,26,100,11,53,32,92,77,42,9,37,61,56,38,84,1,93,20,111,91,33,112,109,79,76,3,16,104,43,5,23,52,80,21,50,39,17,34,65,14,44,88,70,10,98,75,102,8,97,72
1: 82,67,55,69,60,36,106,63,40,51,18,31,94,90,71,83,25,22,28,24,87,46,30,86,6,89,96,2,78,12,4,110,62,99,105,66,27,101,57,73,58,59,13,45,7,85,107,49,29,35,74,41,54,48,103,19,15,95,47,26,32,64,81,108,77,68,9,61,92,20,33,100,11,53,37,111,42,56,38,109,76,16,1,84,93,91,112,79,3,5,104,52,50,21,23,43,88,98,39,80,17,34,65,10,8,14,44,70,75,102,97,72
1: 82,67,55,69,60,36,63,51,31,94,90,106,24,71,83,18,25,40,22,30,96,28,46,6,78,86,4,89,87,12,110,62,2,99,105,66,101,57,73,35,59,13,58,27,85,107,49,29,45,7,74,41,54,48,103,19,15,47,26,95,32,64,81,108,77,68,9,61,92,20,33,100,11,53,37,111,42,56,38,109,76,16,84,93,91,112,1,79,3,5,104,52,50,21,23,43,88,98,39,80,17,34,65,10,8,14,44,70,75,102,97,72
1: 67,82,69,60,55,36,106,63,51,31,94,90,24,71,83,18,25,40,22,30,96,28,87,46,6,86,78,4,89,110,12,62,2,99,105,66,101,73,57,35,59,13,58,27,85,107,49,29,45,7,74,41,54,48,103,19,15,47,26,95,32,64,81,108,77,68,9,61,92,20,33,100,11,53,37,111,42,56,38,109,76,16,84,91,112,1,17,93,79,3,5,104,52,50,21,23,43,88,98,39,80,34,65,10,8,14,44,70,75,102,97,72
1: 67,60,69,82,51,86,63,106,36,28,71,90,55,22,6,25,31,105,4,30,96,24,83,87,94,46,18,73,62,78,89,66,40,27,110,101,2,7,85,35,45,59,107,13,57,26,29,49,81,99,58,12,54,15,41,74,48,19,20,77,37,108,32,33,64,100,9,76,17,95,103,68,61,109,47,79,38,84,42,92,16,91,11,104,112,98,56,52,34,65,3,111,80,39,70,53,23,50,44,88,93,43,21,5,1,10,14,102,8,75,72,97
1: 25,60,69,28,63,7,82,67,100,35,73,40,59,45,106,55,24,22,110,30,15,83,105,101,27,109,62,57,31,11,18,94,36,4,29,51,46,13,71,58,89,107,76,14,95,78,81,47,9,80,86,66,61,87,6,85,90,50,64,112,103,2,75,12,33,52,99,96,68,74,21,19,93,70,39,77,91,32,54,111,104,49,17,20,5,102,38,48,37,88,42,10,23,98,1,34,79,97,108,84,72,8,3,56,16,26,41,43,65,53,92,44
1: 69,25,60,28,63,7,82,67,100,73,35,40,59,45,55,24,106,4,22,110,30,15,83,101,109,62,57,31,11,18,27,94,36,29,51,46,13,105,71,58,89,107,76,14,78,81,47,9,95,80,86,66,61,87,6,85,90,50,64,112,103,2,75,12,33,52,99,96,68,74,21,19,93,70,39,77,91,32,54,111,104,49,17,20,5,102,38,48,37,88,42,10,23,98,1,34,79,97,108,84,72,8,3,56,16,41,26,43,65,53,92,44
1: 69,60,28,63,7,82,31,67,18,25,22,40,83,89,59,62,35,30,45,55,73,106,4,11,110,100,15,94,36,51,24,58,109,71,86,29,13,105,57,107,81,85,46,78,76,80,14,27,66,6,2,99,47,61,9,87,101,37,52,90,95,50,49,12,112,68,104,75,96,33,32,21,74,93,19,39,91,64,103,54,23,17,20,5,70,38,88,3,77,48,79,111,10,108,102,44,84,8,98,42,53,1,34,72,97,41,56,65,43,26,16,92
1: 60,28,63,7,82,69,67,40,30,25,22,100,31,59,106,2,18,35,73,57,89,83,51,55,4,62,110,86,94,24,36,27,45,71,105,13,78,81,85,46,87,11,107,66,6,15,29,14,58,99,109,101,9,61,20,80,90,112,47,12,95,37,17,76,108,49,96,21,38,52,50,68,16,64,75,104,33,54,88,39,32,103,91,74,19,23,93,34,70,56,42,48,5,111,3,10,79,77,41,84,8,102,53,26,44,98,72,97,1,43,65,92
1: 60,7,28,69,67,82,63,86,40,59,31,83,89,4,25,106,51,2,30,100,62,73,55,18,105,36,22,71,110,66,57,20,94,35,27,107,87,24,29,15,45,46,12,38,90,99,81,17,112,76,103,52,78,109,108,49,13,6,58,85,61,37,32,80,11,95,14,84,54,48,16,33,19,9,101,47,96,68,39,26,42,64,21,104,50,34,88,91,41,23,56,79,74,93,75,5,43,72,70,10,65,111,98,53,3,77,97,102,44,8,1,92
1: 28,60,7,69,67,82,63,86,31,30,51,2,83,106,22,55,25,40,71,59,89,4,62,73,36,45,100,46,24,57,18,90,105,66,12,29,110,13,112,27,107,20,49,87,94,84,19,26,37,103,6,32,76,91,78,11,109,96,38,99,108,42,15,35,85,16,48,41,101,58,81,52,54,17,61,95,64,104,43,56,92,14,68,33,9,39,47,80,79,23,88,21,65,74,34,93,111,50,10,75,98,77,5,72,53,70,102,8,3,44,97,1
1: 60,28,86,69,67,7,82,63,31,2,55,22,40,51,4,83,36,89,24,90,6,105,106,30,25,71,18,110,66,73,59,29,62,45,46,87,100,78,85,94,84,13,49,12,57,96,37,107,27,19,41,112,99,35,11,58,61,108,103,32,20,81,26,39,42,95,77,16,38,109,76,74,91,15,17,48,64,52,54,68,101,9,104,53,80,43,92,79,33,56,47,65,10,34,14,88,21,23,1,93,111,50,98,75,5,102,8,72,70,3,44,97
1: 60,67,86,28,82,69,55,63,24,31,83,22,106,51,7,2,66,18,6,4,30,96,89,71,40,36,105,62,73,25,78,90,110,94,19,27,59,87,84,29,35,45,49,85,37,46,100,26,103,12,57,54,38,76,32,112,11,107,13,99,58,41,17,101,108,16,61,42,81,39,15,95,48,20,52,109,77,74,104,65,68,64,92,91,80,34,79,47,9,98,33,53,43,111,56,14,23,1,88,10,21,93,50,70,5,102,75,8,44,72,3,97
1: 60,67,82,69,28,86,63,22,55,106,24,31,83,51,6,30,66,4,36,2,18,71,90,96,46,78,25,40,89,73,7,94,62,110,105,85,59,37,87,27,12,101,35,19,45,29,108,38,84,15,103,107,42,26,49,58,57,76,100,13,99,16,54,32,41,11,112,109,39,95,17,92,48,81,20,77,74,61,3,47,52,34,80,98,23,9,91,65,68,56,104,79,64,33,43,111,44,53,88,10,14,93,1,70,21,75,8,50,102,5,72,97
1: 60,69,67,82,28,86,106,22,55,63,51,31,83,71,24,6,4,30,66,90,7,96,94,36,2,73,40,18,105,46,87,62,101,25,78,89,85,110,29,59,27,12,35,37,49,19,38,45,84,15,108,58,42,100,26,13,107,76,17,99,48,103,61,68,57,41,79,39,32,54,112,64,16,109,92,95,74,11,81,65,20,3,77,47,98,91,52,56,34,93,104,80,23,44,9,111,43,33,53,70,88,1,14,10,102,8,75,50,21,5,72,97
1: 82,60,67,69,63,86,22,106,28,51,36,55,31,83,18,4,6,90,71,96,24,30,66,7,105,2,87,94,78,62,25,73,40,85,89,46,27,59,101,15,58,45,19,110,12,107,99,49,13,57,29,37,35,17,100,54,38,64,79,84,48,108,81,61,26,77,42,92,76,41,103,32,95,16,112,39,68,74,109,20,11,33,47,91,104,65,98,3,52,34,80,93,23,9,56,44,70,111,43,1,21,53,88,14,5,10,102,8,75,50,72,97
1: 82,69,60,67,63,28,106,86,51,36,90,22,55,71,6,4,31,18,25,83,24,96,105,30,87,94,66,62,27,2,40,46,78,7,73,85,13,101,45,59,110,99,15,89,107,12,57,58,29,49,19,100,81,37,35,77,64,54,38,74,95,17,92,108,41,48,79,26,84,68,103,61,76,42,9,112,109,91,11,16,32,3,20,39,47,104,52,33,98,80,65,34,53,93,23,56,70,44,111,5,1,43,21,88,14,10,102,8,75,50,72,97
1: 82,69,60,67,106,28,63,86,36,51,90,71,22,55,25,6,4,18,31,83,87,24,105,30,66,96,94,78,46,40,2,73,62,27,101,7,89,110,107,85,13,59,12,45,57,15,99,58,49,29,74,19,37,81,41,35,100,64,26,108,77,95,54,17,48,38,32,109,61,76,68,92,79,47,84,42,103,91,9,11,112,33,16,56,3,104,20,39,65,52,80,98,53,34,111,23,70,93,44,43,5,21,1,88,14,10,102,50,8,75,72,97
1: 82,69,60,67,51,106,28,86,36,55,63,71,90,25,6,22,4,31,83,18,105,87,30,24,94,46,96,66,73,62,27,78,101,40,2,7,89,110,59,57,85,45,99,107,13,49,35,29,12,41,81,15,74,58,26,48,19,20,37,54,77,108,33,100,32,64,95,9,17,76,103,68,109,61,47,79,38,84,42,92,16,91,11,104,112,98,56,52,34,3,111,39,65,80,70,53,23,50,44,93,88,5,21,43,1,10,14,102,8,75,72,97
1: 82,69,60,67,51,106,55,36,86,28,71,90,63,4,31,22,6,30,83,25,105,24,18,94,78,96,46,87,66,73,62,101,2,89,27,40,110,7,59,57,85,45,107,99,35,49,29,13,12,41,74,81,15,26,48,19,58,20,54,37,77,33,108,32,64,100,9,76,17,103,95,61,68,109,47,79,38,84,42,92,16,91,11,104,112,98,56,52,34,65,3,111,39,70,80,53,23,50,44,93,88,21,5,43,1,14,10,102,8,75,72,97
1: 82,69,60,67,51,106,36,28,86,71,90,55,63,4,6,31,22,30,83,25,105,24,18,94,96,87,46,78,66,73,62,101,2,89,27,40,110,7,59,85,45,57,107,99,35,49,29,13,12,41,81,74,15,26,48,19,58,20,54,37,77,33,108,32,64,100,9,17,76,103,95,68,61,109,79,47,38,84,42,92,16,91,11,104,112,98,56,52,34,65,3,111,39,80,70,53,23,50,44,88,93,21,5,43,1,10,14,102,8,75,72,97
1: 67,51,69,60,82,63,25,105,86,55,46,71,90,28,96,4,22,36,94,6,83,106,87,58,24,89,40,101,73,7,30,100,107,31,26,13,18,62,95,27,57,48,45,49,74,59,29,78,35,12,85,33,42,110,76,2,80,108,19,61,99,9,56,64,32,54,47,41,52,37,66,17,112,81,79,68,84,109,15,34,103,53,39,11,104,38,1,77,70,65,16,92,14,98,93,21,20,111,102,91,3,5,10,23,75,88,50,43,8,72,44,97
1: 82,63,60,4,69,67,31,86,36,51,105,25,87,22,6,106,28,55,24,90,18,96,46,30,27,7,101,66,2,12,19,17,89,99,64,48,100,71,59,85,78,40,73,83,103,81,79,108,58,62,56,94,11,13,35,57,52,77,39,104,38,41,42,29,76,109,33,37,47,32,49,84,74,107,61,95,26,70,53,45,20,54,16,10,110,1,9,68,5,112,65,21,15,102,34,93,80,23,88,14,111,98,43,92,72,44,8,91,97,50,75,3
1: 69,25,105,63,4,82,36,67,86,51,28,6,106,90,60,27,87,24,18,71,96,46,55,99,31,30,101,66,95,7,59,2,22,12,100,77,83,37,13,81,85,35,40,78,39,29,79,89,41,45,64,104,53,56,57,103,48,62,94,11,73,109,74,52,76,49,42,19,33,107,38,47,17,32,108,26,9,61,58,84,54,10,110,70,16,21,1,5,68,112,15,34,20,102,80,14,88,23,92,98,65,93,111,8,72,43,44,91,50,97,75,3
1: 25,82,4,105,67,86,69,63,60,36,106,51,6,90,28,27,31,18,87,71,55,66,30,96,46,101,24,78,22,7,95,41,40,83,2,37,81,12,47,59,99,13,74,89,85,35,73,39,64,53,56,57,94,103,29,11,100,19,48,79,62,76,49,77,107,42,32,33,17,45,104,108,26,109,61,52,38,110,9,68,54,112,21,58,16,1,70,80,84,34,10,15,20,102,5,98,88,23,111,93,65,50,92,14,43,44,8,91,72,3,97,75
1: 105,60,55,67,69,36,86,82,51,25,27,106,28,90,87,46,18,6,63,24,101,96,4,78,30,7,31,71,94,2,41,66,22,95,83,81,99,40,47,59,89,73,85,48,35,37,56,33,29,13,39,74,57,32,103,53,12,107,49,64,42,45,26,100,77,62,19,17,76,52,104,16,79,61,9,68,58,112,108,84,11,109,70,80,1,110,34,21,38,54,102,10,20,23,15,5,88,92,93,98,8,111,65,50,3,43,91,72,14,97,75,44
1: 67,69,55,60,82,105,51,46,25,4,63,90,83,86,28,30,36,22,71,106,78,87,101,31,18,24,6,57,94,73,96,99,107,40,59,7,13,66,100,45,89,48,27,2,62,49,12,35,95,33,29,74,19,85,42,76,110,80,61,108,58,41,32,9,64,37,56,52,47,26,17,112,81,54,79,68,84,15,109,103,34,53,39,104,11,38,1,77,70,92,16,14,65,98,111,20,21,93,102,91,3,5,10,23,88,75,50,43,8,72,44,97
1: 67,69,60,55,82,105,51,46,25,4,63,90,83,86,28,30,36,22,71,106,87,78,101,31,18,24,6,57,94,73,96,99,107,40,59,7,13,66,100,45,89,48,27,2,62,49,12,35,95,33,29,74,19,85,42,76,110,80,61,108,58,41,32,9,64,37,56,52,47,26,112,17,81,54,79,68,84,15,109,103,34,53,39,104,11,38,1,77,70,92,16,14,65,98,111,20,93,21,102,91,3,5,10,23,88,75,50,43,8,72,44,97
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1: 67,60,69,63,36,82,105,96,28,25,106,30,24,51,22,86,6,40,31,94,71,55,89,87,90,18,4,45,83,78,27,12,49,99,101,7,35,58,46,59,29,33,32,110,62,66,95,26,100,2,57,48,19,85,54,73,74,81,107,41,64,76,42,112,56,9,68,47,20,13,16,61,84,37,108,17,77,80,91,52,1,21,103,53,34,79,98,15,38,70,11,93,109,92,111,104,50,39,23,65,3,10,88,5,102,44,75,14,8,43,72,97
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1: 28,82,60,69,83,67,63,22,55,7,30,86,25,40,90,4,51,31,89,105,78,36,59,106,100,62,27,18,57,6,45,24,94,12,46,2,19,66,41,101,87,29,112,58,110,73,71,84,13,16,96,48,39,42,108,38,68,33,26,32,85,21,11,35,49,54,95,20,15,76,10,93,52,107,91,104,74,61,99,103,37,9,23,111,64,80,56,88,1,79,5,81,43,92,17,109,65,50,70,14,98,34,3,47,77,53,102,72,75,97,44,8
1: 82,28,83,55,67,69,60,22,2,40,86,63,7,105,31,90,4,25,36,78,24,100,27,59,110,18,89,51,106,94,6,46,41,30,12,29,45,19,87,71,39,66,96,62,101,84,61,13,58,95,112,57,54,68,73,11,32,16,74,48,85,49,35,33,99,38,26,107,21,15,76,9,93,56,42,108,103,37,20,79,80,77,10,104,1,64,111,91,47,88,81,43,23,17,53,65,34,92,98,5,70,3,50,52,14,102,75,72,109,97,44,8
1: 82,55,28,67,83,24,69,60,63,22,86,31,106,40,59,7,78,51,25,18,89,105,90,4,71,6,30,19,36,94,101,27,96,46,100,66,2,87,35,12,110,45,29,54,62,84,95,73,41,26,112,13,57,48,68,99,58,49,74,16,11,76,39,61,38,33,85,107,103,32,15,108,9,37,80,42,77,17,111,104,21,23,52,47,56,20,93,10,1,81,65,98,64,79,88,70,91,34,92,53,43,3,5,14,109,50,102,75,72,97,44,8
1: 82,28,55,67,69,83,60,24,63,22,106,31,59,78,40,51,4,18,89,36,7,90,71,25,101,30,6,105,19,12,27,96,94,46,86,66,87,100,2,35,110,95,45,54,73,29,41,84,62,57,58,99,112,107,48,9,26,108,13,16,38,49,68,33,85,103,15,32,74,76,80,11,42,37,61,52,39,21,47,77,17,81,92,93,1,34,91,98,56,3,20,70,65,79,104,64,10,109,111,88,23,53,14,102,5,43,75,50,72,44,97,8
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1: 67,60,69,82,94,71,51,55,36,63,106,24,86,28,25,31,110,40,96,105,22,83,18,90,87,30,4,62,85,6,89,46,78,101,99,54,57,12,73,59,27,13,2,66,58,35,41,107,19,74,49,7,29,95,45,26,15,48,32,100,64,81,47,77,103,61,9,111,108,68,37,92,109,33,91,76,38,20,17,5,10,16,112,42,56,79,84,11,104,53,23,52,21,93,34,39,98,70,1,65,80,3,43,50,14,44,88,8,75,102,72,97
1: 60,69,63,28,25,82,45,7,55,67,46,35,22,106,73,30,31,40,59,18,27,51,101,36,100,24,6,96,4,29,89,105,87,57,58,94,86,83,112,78,12,99,42,11,107,15,110,33,95,76,90,50,37,81,52,2,103,71,80,14,13,85,62,66,9,70,74,32,19,68,64,21,39,109,79,61,1,48,47,41,108,38,3,56,49,102,75,84,34,26,53,5,10,97,16,104,17,72,23,93,91,111,20,77,88,92,98,44,65,54,43,8
1: 67,69,82,60,55,94,71,106,51,36,28,63,31,24,83,18,90,30,86,4,25,110,40,22,96,105,46,87,62,78,85,99,101,6,57,89,12,59,66,2,73,27,13,54,41,74,107,19,49,7,35,58,29,95,45,15,48,32,100,26,64,81,47,77,103,61,9,111,108,68,37,92,109,33,91,76,38,20,17,5,10,16,112,42,56,79,84,11,104,53,23,52,21,93,34,39,98,70,1,65,80,3,43,50,14,44,88,8,75,102,72,97
1: 60,82,69,67,63,51,28,106,55,86,6,105,22,30,36,71,96,87,31,90,25,24,4,46,83,94,18,89,40,27,78,7,66,12,2,101,29,73,99,59,35,48,85,62,26,100,57,45,13,49,32,107,108,110,37,19,58,81,9,41,74,95,76,84,16,33,68,42,61,11,20,79,15,56,38,52,39,77,17,54,112,103,64,92,80,109,47,104,34,53,70,93,3,1,65,98,10,91,23,5,50,102,21,111,88,14,44,43,8,75,72,97
1: 60,82,63,67,46,28,7,86,55,30,69,22,6,12,83,31,20,51,4,26,87,36,66,71,89,32,19,2,29,106,48,108,96,39,24,100,37,84,16,59,90,107,43,112,25,79,105,49,56,62,41,18,45,5,15,73,68,91,10,38,78,57,54,27,103,40,11,94,85,13,101,61,76,104,74,92,109,42,17,99,52,58,33,34,110,21,95,35,47,72,65,23,77,64,98,81,3,9,14,53,44,50,70,80,88,102,93,111,1,75,8,97
1: 60,28,22,86,82,6,55,69,67,46,83,4,2,7,90,63,31,51,89,39,66,87,30,105,106,36,12,40,71,29,24,96,84,32,19,85,94,13,18,108,100,59,37,78,20,26,25,49,99,45,68,41,16,61,27,73,74,56,57,107,110,101,48,95,77,15,112,79,11,10,62,103,58,9,38,42,43,54,76,34,104,35,81,65,23,21,33,109,64,52,17,93,80,47,91,92,98,53,5,3,14,88,1,70,50,72,111,8,102,44,75,97
1: 60,55,86,82,28,83,69,67,24,22,6,63,31,96,51,106,66,71,4,89,7,2,87,30,90,46,105,36,18,78,19,40,94,84,12,29,26,37,59,25,39,32,73,108,27,13,35,85,101,16,100,62,103,49,99,76,112,110,48,54,45,38,61,68,11,57,95,74,58,79,42,41,15,104,107,9,17,20,34,56,33,77,65,81,52,80,10,43,23,64,109,92,98,53,47,21,93,14,70,91,1,3,5,88,111,50,102,72,44,8,75,97
1: 60,82,69,55,28,67,83,63,22,106,51,6,31,24,86,71,96,4,7,90,30,66,87,36,46,2,105,89,101,94,40,12,18,29,73,59,19,78,25,85,84,100,27,108,99,13,48,38,68,35,16,62,26,32,95,37,49,57,45,110,79,61,58,112,42,15,39,107,11,41,74,76,9,103,52,20,17,81,56,104,33,64,34,54,65,77,80,93,92,109,98,3,70,47,91,10,53,23,14,43,1,102,5,44,21,111,88,8,50,72,75,97
1: 82,69,60,28,63,67,55,106,51,6,4,36,86,83,90,96,71,22,31,24,87,105,18,30,66,25,7,46,2,94,12,59,40,27,99,89,101,29,78,13,100,45,85,73,57,19,49,62,95,35,84,48,108,58,37,68,107,9,16,26,32,38,79,74,41,81,15,11,33,110,42,61,76,77,112,39,103,17,52,64,54,56,104,34,92,80,20,70,109,53,93,65,1,5,10,3,98,47,91,14,102,21,23,44,43,111,50,8,88,72,75,97
1: 82,69,60,28,63,67,106,55,83,4,6,51,36,86,90,71,22,31,87,18,96,30,25,105,24,66,46,7,12,94,2,40,89,27,101,78,59,29,13,99,73,100,45,57,85,19,62,49,107,108,95,35,37,48,32,41,84,58,26,74,68,81,42,61,9,16,11,33,76,110,15,38,79,56,112,17,39,64,52,77,103,54,80,92,34,109,20,104,53,47,70,93,65,1,3,10,91,98,5,21,102,14,23,43,111,50,44,88,8,75,72,97
1: 82,69,60,28,67,55,106,63,51,6,86,36,4,83,87,31,105,71,30,90,18,96,22,24,25,46,94,66,2,27,101,7,78,89,12,40,29,59,99,73,45,49,35,85,57,48,100,62,19,32,13,41,107,95,37,108,26,74,84,33,81,58,68,76,9,16,110,42,61,79,11,56,38,20,15,39,112,17,103,52,77,64,92,80,54,109,34,104,47,70,53,93,3,1,98,10,65,91,5,50,21,23,102,111,14,44,88,43,8,75,72,97
1: 82,69,60,67,28,55,106,63,51,30,6,4,86,90,31,36,83,22,105,96,71,24,87,46,94,18,25,66,78,101,2,89,12,40,27,7,29,99,59,73,35,45,57,49,85,48,100,62,32,19,13,41,107,37,26,108,74,84,81,95,33,76,9,68,110,16,58,42,61,79,56,38,20,11,17,112,15,103,39,52,77,64,92,80,54,34,104,109,70,47,53,93,3,1,98,65,10,91,50,5,21,23,102,111,14,44,88,43,8,72,75,97
1: 67,60,69,55,51,36,106,82,63,24,71,94,96,25,22,28,40,110,18,6,13,105,31,86,62,4,87,30,90,89,83,99,2,85,73,27,26,78,12,46,59,66,35,101,54,15,19,57,77,81,58,74,29,32,49,45,107,7,100,41,47,64,48,37,103,108,109,95,33,20,61,9,111,112,68,91,84,92,98,104,11,3,88,38,42,79,16,17,44,65,5,53,52,56,23,93,1,21,43,34,76,50,39,70,10,75,8,14,80,97,102,72
1: 25,28,67,63,69,100,40,82,55,112,35,58,59,7,45,73,60,105,83,22,71,78,15,62,36,110,31,101,30,18,4,81,27,24,95,106,66,89,50,9,14,109,33,2,29,76,46,51,6,80,47,90,107,94,57,61,86,99,85,52,39,21,103,11,42,93,13,68,12,32,74,96,104,75,64,37,77,49,98,87,5,34,19,97,79,91,84,88,3,70,38,20,72,48,108,54,56,111,23,1,26,10,17,16,8,102,65,43,41,53,44,92
1: 60,67,7,28,69,31,55,86,26,19,82,63,2,12,110,20,89,112,46,91,29,40,59,4,71,83,30,18,22,62,48,36,32,90,51,66,37,107,99,6,42,41,84,54,103,94,24,78,106,16,96,105,57,38,100,49,27,25,104,45,85,11,73,65,13,58,68,92,43,108,87,111,93,14,64,52,33,15,17,47,23,109,56,101,95,81,39,5,76,80,74,79,10,88,77,61,70,34,21,72,44,1,97,35,50,98,9,53,102,8,3,75
1: 60,55,67,28,69,86,40,110,89,19,31,4,2,63,7,90,18,82,36,13,83,26,66,22,51,71,105,85,12,46,37,25,106,24,30,6,112,94,62,48,32,29,96,84,73,41,27,103,49,59,107,39,20,58,54,100,87,78,42,91,99,74,45,43,16,64,104,11,68,61,95,77,38,65,108,57,92,15,33,47,53,35,81,52,79,109,14,17,23,88,56,101,93,9,10,111,80,5,76,34,1,98,21,70,44,72,50,97,102,8,3,75
1: 55,60,67,86,69,82,83,63,28,31,19,110,106,24,66,89,18,40,22,90,51,4,2,62,26,36,13,7,85,25,71,96,6,94,27,37,103,73,12,105,54,30,46,112,32,84,99,49,78,59,29,41,48,38,35,101,45,65,42,107,11,39,87,20,16,104,58,43,100,111,74,95,92,57,64,33,77,91,15,61,17,47,108,68,76,109,98,23,34,53,10,79,81,52,88,93,56,14,80,9,5,44,1,8,70,21,3,50,97,102,72,75
1: 55,60,67,82,69,63,24,106,89,90,28,2,22,4,51,83,110,36,94,18,86,19,66,85,13,12,71,40,31,62,30,6,59,99,96,25,27,73,37,26,105,7,46,103,101,78,112,84,107,32,15,42,108,45,95,58,87,54,29,49,38,41,35,92,47,48,109,100,65,9,34,74,3,16,57,77,20,91,11,104,98,39,43,33,81,61,111,17,64,8,23,76,44,79,10,68,56,52,93,88,53,14,80,5,70,1,21,97,102,72,50,75
1: 55,67,60,82,69,106,63,28,22,94,24,90,83,40,51,31,18,36,85,4,89,2,59,71,86,13,110,62,19,73,30,99,12,66,25,96,7,6,87,101,105,27,26,46,37,48,29,100,15,35,74,78,112,84,58,107,103,38,68,45,57,42,49,108,95,32,64,54,93,92,41,65,61,47,9,109,91,3,20,16,44,11,98,111,77,81,34,33,104,79,43,39,23,17,8,52,10,56,76,1,75,88,53,14,5,80,70,21,102,97,50,72
1: 55,67,60,63,69,82,106,90,22,28,36,94,18,4,85,13,51,24,83,31,89,96,40,99,86,6,19,62,2,59,71,30,25,87,12,105,73,66,110,27,7,58,15,26,48,101,57,78,107,45,37,100,29,77,46,81,64,74,84,112,35,32,61,49,41,47,68,95,54,79,108,92,111,42,93,103,38,65,44,9,91,98,11,20,17,109,3,1,104,33,34,16,39,52,43,21,70,23,76,56,10,75,5,8,88,53,14,80,50,97,102,72
1: 55,67,69,63,90,82,60,106,13,18,36,28,51,83,94,22,6,96,4,99,24,40,86,62,25,2,31,85,87,27,71,89,12,59,30,19,110,105,66,73,45,100,101,46,58,15,7,57,107,81,77,74,37,26,48,78,29,41,112,64,92,84,95,68,49,35,91,103,47,61,54,32,111,108,79,9,109,3,38,104,11,65,93,98,42,44,1,20,17,33,5,53,52,16,34,23,39,10,21,56,43,70,75,76,8,88,14,80,50,102,97,72
1: 67,55,69,82,106,63,60,18,36,90,83,25,13,51,40,94,4,28,71,22,6,24,2,31,99,30,62,96,12,86,89,87,105,110,85,66,27,46,59,73,15,78,19,7,101,58,107,57,100,74,45,26,81,41,77,37,64,29,108,47,95,48,54,49,109,91,112,92,68,32,103,35,84,61,111,33,9,42,93,104,11,65,3,38,98,79,53,44,1,20,56,43,34,52,16,17,5,23,21,70,76,50,39,75,8,88,10,14,80,97,102,72
1: 55,67,69,82,106,60,18,36,63,51,28,94,25,71,40,90,4,83,24,99,13,86,2,31,96,6,22,62,30,89,105,110,78,46,87,27,12,85,59,66,73,101,57,19,15,74,45,26,7,49,41,29,100,77,81,32,107,58,47,64,37,54,48,95,35,103,108,33,109,20,61,9,68,112,111,84,91,92,104,98,3,42,38,79,11,16,88,93,5,65,44,17,53,1,56,52,23,43,76,34,50,21,39,10,75,70,8,14,80,97,102,72
1: 55,69,67,82,60,106,36,51,63,28,24,4,94,96,18,31,71,90,83,25,22,13,99,30,62,6,40,86,2,78,105,110,89,12,46,59,85,66,27,73,87,101,57,15,19,74,26,35,45,41,49,29,107,81,77,7,32,100,47,64,54,58,37,48,108,33,103,109,20,95,61,9,68,112,111,91,92,84,104,98,42,79,38,11,3,88,16,44,93,65,17,5,53,23,56,52,1,34,76,43,50,21,10,39,70,75,8,14,80,97,102,72
1: 69,67,55,106,60,82,36,51,63,24,28,96,94,71,4,18,31,90,25,83,22,30,13,99,62,110,40,6,86,87,2,105,78,89,12,85,46,59,66,73,27,101,57,19,74,26,15,35,41,77,49,81,29,107,45,7,32,100,47,64,54,58,37,48,103,108,95,20,109,33,61,112,9,91,111,68,84,92,104,98,79,38,11,88,3,42,16,17,44,5,65,53,1,93,23,56,52,21,34,76,43,50,10,39,70,75,8,14,80,97,102,72
1: 60,67,69,63,82,51,106,25,22,86,55,36,90,28,6,30,96,105,94,24,71,87,46,31,40,4,18,83,27,89,29,12,99,7,101,48,78,66,100,58,59,57,85,62,73,32,35,13,45,2,81,49,107,108,26,15,33,9,74,19,110,84,41,16,68,95,37,61,64,79,76,11,77,20,42,103,17,47,92,112,80,52,56,54,38,53,109,1,70,39,34,104,93,98,111,50,3,91,23,5,102,21,65,14,10,44,8,43,88,75,72,97
1: 60,69,63,28,25,82,55,45,7,67,35,46,22,30,106,73,31,59,51,40,101,18,27,36,4,100,89,24,96,6,29,87,57,105,58,107,78,83,86,94,42,12,99,112,110,15,11,90,95,52,50,2,103,76,80,37,33,81,85,66,13,9,62,70,71,14,19,68,74,64,32,39,109,21,79,61,1,48,41,47,108,3,38,56,49,102,75,84,53,34,26,5,16,97,10,17,93,72,104,23,111,91,20,92,88,98,44,77,54,65,43,8
1: 60,63,28,69,25,82,55,45,7,67,106,73,35,46,22,30,4,31,59,51,40,101,18,36,100,89,24,96,27,6,29,87,57,58,107,78,83,86,94,42,12,99,105,112,110,15,11,90,52,50,95,2,103,76,80,37,33,81,85,66,13,9,62,70,71,14,19,68,74,64,32,39,109,21,79,61,1,48,41,47,108,3,38,56,49,102,75,84,53,34,26,5,16,97,10,17,93,72,104,23,111,91,20,92,88,98,44,77,54,65,43,8
1: 60,89,63,83,22,69,18,85,82,31,55,59,67,40,71,7,28,78,86,106,12,30,46,94,4,45,58,51,25,37,62,52,99,49,29,87,36,6,11,73,66,107,105,96,35,57,15,80,100,81,101,76,2,110,32,112,13,24,104,27,19,74,14,90,68,9,109,21,39,61,50,70,79,10,95,26,53,108,3,47,38,56,103,84,23,72,75,48,5,42,33,17,93,1,41,102,91,43,20,92,16,34,65,44,88,97,8,77,111,64,54,98
1: 31,87,4,94,56,105,81,51,38,100,66,9,60,32,26,50,82,89,74,63,86,20,83,49,12,58,61,40,55,37,16,71,22,46,78,84,34,6,98,110,2,52,107,29,54,24,62,108,109,36,14,80,96,112,70,13,73,104,99,90,17,7,35,21,85,11,39,15,23,5,53,68,88,69,92,57,103,28,101,27,47,41,76,91,3,64,75,33,106,42,59,72,77,102,8,44,97,1,65,67,45,48,18,93,30,43,19,111,10,95,79,25
1: 60,82,4,86,20,28,51,69,7,22,2,49,46,84,105,6,83,55,66,106,87,89,31,67,29,39,63,71,61,30,74,85,103,76,38,12,100,19,48,37,32,56,59,96,68,73,109,34,26,24,15,40,10,99,52,27,36,79,57,94,78,101,108,43,81,107,95,110,90,58,13,62,18,16,45,17,25,64,77,21,23,14,5,80,3,72,50,9,70,98,65,41,47,112,102,54,104,33,35,42,11,92,1,44,93,88,91,53,75,8,97,111
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1: 82,69,60,67,106,28,55,25,63,6,90,36,51,4,96,83,94,30,71,86,46,105,31,87,22,24,18,101,27,66,7,99,29,2,89,12,40,59,48,49,78,57,45,35,32,73,100,41,85,107,68,20,84,19,95,62,81,74,61,37,33,26,58,13,9,16,108,79,64,76,103,42,17,11,56,38,15,47,110,112,53,54,92,52,70,80,39,104,34,77,109,98,93,3,1,91,65,21,50,111,10,5,23,102,14,8,43,88,44,75,72,97
1: 67,69,60,63,51,82,55,36,106,94,25,71,28,22,31,86,6,30,90,24,96,105,110,62,40,4,87,18,83,85,89,13,46,73,12,27,2,99,78,101,57,66,7,107,59,15,35,26,29,54,95,74,41,100,49,77,48,58,45,81,32,19,64,37,61,5,9,103,108,68,20,91,47,92,111,33,112,84,17,16,88,42,79,109,38,11,76,104,98,10,56,3,23,65,21,39,44,34,53,93,52,70,1,8,50,43,14,102,80,97,75,72
1: 28,63,60,69,82,25,67,45,55,40,71,100,22,73,35,101,18,7,62,112,110,57,83,30,31,13,59,58,81,86,93,89,36,4,109,46,78,106,95,15,66,11,14,27,99,85,51,103,107,6,105,24,94,52,80,9,21,76,96,90,50,75,29,33,74,87,2,17,12,64,47,68,61,39,54,42,70,19,37,5,79,20,77,49,104,98,84,48,10,32,34,102,88,108,91,111,56,38,23,3,72,26,97,1,41,16,8,43,53,92,65,44
1: 28,63,60,69,82,25,67,45,55,40,71,100,22,73,35,101,18,7,62,112,110,57,83,30,31,13,59,58,81,86,93,89,36,4,109,46,78,15,66,11,14,99,85,51,106,95,103,107,6,24,94,52,80,27,9,21,76,105,96,90,50,75,29,33,74,87,2,17,12,64,47,68,61,39,54,42,70,19,37,5,79,20,77,49,104,98,84,48,10,32,34,102,88,108,91,111,56,38,23,3,72,26,97,1,41,16,8,43,53,92,65,44
1: 60,28,63,69,82,55,67,89,22,71,18,40,31,7,25,62,59,83,13,86,45,110,93,85,58,112,81,4,36,99,35,11,73,78,66,107,51,94,6,15,80,57,14,100,101,52,30,29,76,95,109,87,2,90,106,17,96,12,46,105,54,9,37,61,47,49,19,24,104,39,103,21,5,75,20,50,74,27,32,33,48,68,84,10,64,91,56,70,38,26,79,42,108,77,98,3,34,102,92,88,23,111,43,8,97,53,72,1,16,41,65,44
1: 60,63,31,67,86,69,89,28,55,71,40,110,112,22,82,100,83,62,4,7,35,2,99,73,51,59,54,101,57,85,36,37,105,66,20,30,78,38,107,94,13,6,87,27,18,103,25,14,46,109,81,11,12,106,45,21,42,93,61,17,29,5,90,15,76,56,32,58,49,80,108,24,74,26,9,50,52,91,96,39,53,48,104,95,19,16,47,84,64,68,33,77,34,10,92,70,98,23,43,79,88,75,41,1,111,97,72,102,3,44,8,65
1: 28,60,67,86,63,40,82,4,69,112,7,22,83,71,30,62,31,55,36,110,105,59,89,106,12,51,29,107,13,99,2,100,66,25,46,94,57,18,20,27,6,37,103,73,24,90,54,35,15,19,38,93,49,42,48,52,85,101,87,45,78,17,16,84,61,68,5,76,14,91,39,58,74,33,21,96,32,81,11,41,10,108,80,65,109,9,23,26,104,56,43,64,79,34,95,72,70,77,47,111,88,50,3,102,92,75,98,53,97,1,44,8
1: 28,60,63,86,82,31,67,7,69,40,12,89,83,112,55,22,30,36,71,90,110,62,91,19,59,46,4,51,66,2,29,107,13,105,100,6,57,54,18,37,94,106,99,20,73,24,26,103,96,41,78,48,32,25,45,42,87,38,16,85,84,11,27,68,49,39,104,108,5,15,14,43,93,92,56,58,21,61,76,35,101,65,79,52,23,74,17,10,109,64,34,111,70,33,81,9,77,95,98,80,53,88,3,72,47,102,50,1,97,44,75,8
1: 60,28,82,67,86,40,63,55,69,89,31,7,110,2,90,105,4,36,12,22,83,13,6,71,51,19,30,112,66,106,18,85,62,46,24,26,84,37,29,96,87,73,32,59,25,107,39,54,27,94,100,41,49,48,91,103,78,16,74,68,5,99,20,45,95,61,43,38,11,57,108,104,42,64,65,58,56,15,10,92,14,53,21,77,23,34,88,35,52,101,81,80,33,17,93,111,79,76,109,98,9,70,1,102,3,50,47,97,72,8,75,44
1: 82,67,60,55,86,63,28,83,69,31,106,89,110,24,22,90,40,6,66,36,7,51,19,105,71,2,4,96,12,13,18,62,85,73,26,30,94,54,27,25,84,112,59,37,103,29,32,46,87,49,99,107,78,95,38,16,45,101,100,39,11,48,41,104,57,65,74,68,35,61,108,20,15,43,91,42,98,34,5,76,111,92,17,77,64,58,33,23,14,10,53,21,109,52,80,56,88,81,93,79,47,9,70,102,3,1,8,44,50,75,97,72
1: 67,55,60,82,69,28,63,106,22,83,90,36,40,31,94,51,110,6,86,24,71,12,4,89,85,2,62,18,30,66,7,105,59,73,13,96,87,99,19,101,46,25,27,15,29,107,48,68,95,78,100,26,84,37,38,49,74,112,57,103,45,54,35,108,58,61,32,41,64,42,91,65,16,3,93,39,5,92,104,11,77,9,109,20,76,98,34,79,17,23,111,81,47,43,33,44,56,14,10,52,21,53,8,102,88,80,1,70,75,50,97,72
1: 55,67,60,82,63,69,36,22,106,28,90,31,6,96,51,94,83,85,86,40,4,18,30,12,24,62,105,71,13,2,89,99,87,7,59,110,25,66,19,73,15,46,101,27,107,57,100,58,95,78,77,29,48,45,37,49,26,61,54,64,84,74,68,41,32,38,112,108,92,5,103,81,79,35,91,3,39,93,42,16,109,17,11,9,104,65,111,20,98,34,47,76,23,21,1,44,33,70,56,52,14,10,43,53,80,102,88,8,50,75,97,72
1: 67,55,63,69,82,90,60,36,106,28,6,51,83,94,18,13,31,40,96,4,22,86,25,12,99,24,85,30,62,105,71,27,2,87,59,89,66,46,7,73,57,101,107,15,19,100,95,45,110,78,111,74,58,77,48,29,49,37,81,54,64,41,68,112,84,26,38,5,61,91,92,35,32,9,103,11,108,79,42,104,47,93,16,98,3,17,44,65,20,34,76,109,39,33,53,88,21,52,1,23,10,56,70,14,43,102,80,8,50,75,97,72
1: 67,55,63,82,69,60,106,36,90,28,6,25,71,83,18,94,51,40,22,30,86,31,4,13,12,96,105,87,24,85,62,2,99,66,27,89,46,73,7,107,101,15,59,57,78,95,74,100,110,19,41,29,45,111,58,37,64,54,49,81,26,48,77,68,32,91,61,108,5,35,92,84,47,112,103,11,9,38,42,104,17,93,16,65,109,79,3,98,76,56,33,20,23,21,34,39,53,44,88,10,43,52,1,70,14,8,80,102,50,97,75,72
1: 67,55,69,82,63,60,106,36,90,51,28,94,25,71,6,18,86,30,31,40,83,4,22,96,105,87,62,24,12,99,2,85,46,27,57,101,13,78,89,73,66,7,59,107,74,15,110,95,29,41,100,45,49,111,54,26,48,58,19,32,81,77,37,64,35,61,5,103,68,9,20,108,91,47,84,92,33,112,16,11,88,79,42,109,38,104,76,17,98,10,3,56,23,44,65,93,21,34,39,53,52,1,70,8,50,43,14,102,80,97,75,72
1: 55,67,82,69,63,60,36,106,51,90,28,94,31,30,4,71,25,6,96,22,24,83,86,105,18,40,62,99,12,85,78,46,2,57,101,87,13,89,27,66,73,59,107,7,74,110,15,29,95,41,35,45,49,111,100,54,26,48,19,32,81,37,77,64,58,61,5,103,68,20,108,9,91,47,33,92,84,112,16,11,42,88,79,38,109,76,104,17,98,56,10,23,3,65,44,93,21,34,53,39,52,70,1,8,50,43,14,102,80,97,75,72
1: 69,67,55,82,63,60,106,36,51,90,28,71,94,30,31,4,25,6,96,22,86,24,83,105,18,62,40,87,12,99,85,46,2,78,101,13,27,66,89,73,57,110,59,107,7,74,15,29,41,95,111,35,45,49,100,26,54,48,19,32,81,77,37,64,58,61,5,103,20,68,108,9,91,47,92,33,84,112,17,16,11,88,79,42,109,38,76,104,98,10,56,23,3,65,44,21,34,39,53,93,52,70,1,8,50,43,14,102,80,97,75,72
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1: 60,55,67,82,83,28,51,90,106,69,24,22,36,89,94,66,63,18,40,31,30,4,71,2,110,46,86,96,6,73,19,62,85,59,12,25,78,13,27,7,99,101,26,105,58,107,15,37,108,95,49,48,112,84,74,57,41,35,11,45,32,87,47,29,16,104,65,54,34,38,23,103,9,100,109,98,81,79,17,77,68,52,64,92,20,33,39,61,80,111,91,43,53,76,10,14,56,42,70,93,21,88,3,75,1,72,102,8,5,44,50,97
1: 55,67,60,82,28,83,51,69,106,90,22,94,63,40,36,31,30,71,18,24,86,96,66,4,73,110,62,85,59,89,7,25,2,19,6,101,13,46,105,12,58,99,48,27,78,15,74,26,87,57,95,107,49,29,108,112,41,45,35,37,100,84,38,79,11,68,9,65,47,64,16,32,77,61,104,23,111,17,103,54,34,81,109,91,39,52,92,20,98,33,43,14,93,80,76,53,56,10,70,42,1,44,88,21,75,3,102,72,5,8,50,97
1: 67,60,55,82,90,51,69,106,63,28,22,36,94,83,18,31,30,71,96,40,4,24,86,62,25,89,6,13,66,19,105,58,99,85,2,59,73,110,12,7,101,27,15,78,46,87,107,57,48,45,26,49,95,108,74,29,41,77,79,100,112,35,64,47,32,37,81,61,84,9,11,111,54,38,68,34,16,65,17,92,20,104,109,23,103,33,39,70,1,52,91,98,80,93,76,14,43,53,56,21,42,10,44,5,88,75,3,102,50,72,8,97
1: 67,55,82,60,90,51,69,106,63,36,28,94,83,18,71,96,86,22,62,4,40,25,24,31,6,13,30,99,105,110,66,27,2,101,89,12,58,46,59,73,85,107,45,7,15,87,19,57,78,95,74,48,77,100,49,41,35,81,26,64,29,9,47,103,108,37,79,112,68,32,11,61,84,109,92,38,104,54,111,17,34,16,91,65,20,33,70,53,23,1,52,80,39,98,76,93,5,14,56,10,42,43,21,3,44,88,102,75,50,72,8,97
1: 67,82,55,60,69,106,36,90,63,51,94,83,18,71,28,25,40,62,30,22,31,4,24,86,96,6,105,66,87,13,110,12,46,89,101,2,99,73,107,27,85,58,15,78,57,7,59,74,45,95,19,41,47,26,29,81,49,100,108,64,48,37,77,35,61,32,54,9,109,103,68,11,112,92,79,111,104,84,33,17,38,34,91,23,16,65,20,53,56,80,70,52,1,76,93,39,21,43,98,42,14,5,10,3,44,50,88,75,102,72,8,97
1: 67,82,55,60,69,106,51,36,94,18,71,63,28,90,83,30,62,86,40,31,25,24,105,4,96,22,87,46,101,6,2,99,89,66,27,73,85,110,78,12,57,13,59,107,74,7,58,15,41,45,95,29,49,26,48,47,35,19,77,32,81,61,100,64,103,108,109,37,54,9,33,111,68,20,79,112,16,11,92,84,104,17,23,38,34,76,91,52,56,98,65,53,70,1,80,39,21,93,42,10,50,88,5,14,43,3,44,75,102,8,72,97
1: 82,67,55,60,69,51,94,36,106,71,28,90,63,30,31,24,83,18,62,22,96,4,25,86,105,40,46,101,6,99,78,87,66,2,85,110,73,89,12,57,59,13,107,27,74,15,35,41,45,49,29,7,26,58,47,48,95,19,77,81,32,61,100,64,103,109,108,9,54,37,33,111,20,68,79,112,16,11,92,104,84,38,17,23,76,34,91,42,52,56,65,98,53,70,1,93,80,21,39,10,50,88,14,5,43,3,44,75,102,8,72,97
1: 67,60,69,82,55,51,94,106,36,71,28,90,63,30,18,24,62,83,22,96,25,4,31,105,40,101,87,86,6,99,110,46,66,73,2,78,89,85,12,13,59,57,27,74,107,41,35,15,45,29,49,26,7,58,48,47,95,19,77,81,32,61,100,108,103,109,64,9,37,54,33,111,20,68,17,79,112,11,16,92,104,84,38,23,34,76,91,52,42,56,98,53,65,70,1,80,93,21,50,39,14,88,10,5,43,44,3,102,75,8,72,97
1: 67,60,69,51,82,63,106,36,55,71,94,25,28,24,22,90,86,105,31,96,30,6,40,18,87,4,62,83,110,46,89,78,73,12,27,2,99,85,101,13,66,57,35,59,26,54,7,74,29,58,41,107,95,48,45,15,49,81,19,100,32,108,9,103,37,64,77,61,68,47,33,109,20,92,17,84,38,91,79,16,76,11,42,111,112,5,104,56,10,52,80,34,53,65,23,93,98,70,39,1,21,50,3,14,43,88,8,44,102,75,72,97
1: 28,69,63,25,67,60,82,35,59,22,100,55,45,7,40,89,18,73,30,106,112,11,4,31,101,83,99,86,27,71,36,51,76,57,58,105,66,33,62,52,87,78,13,46,15,80,24,107,50,96,14,74,103,2,6,29,81,64,93,90,19,68,95,12,109,61,75,110,21,85,47,9,94,37,32,17,39,48,84,70,42,1,108,77,79,56,41,5,49,88,38,54,53,20,104,10,16,111,26,102,8,98,72,34,3,23,91,92,43,97,65,44
1: 28,69,63,25,67,60,82,35,59,22,100,55,45,7,73,40,89,18,30,4,106,112,11,31,101,83,99,86,71,36,51,76,57,58,66,27,33,62,52,87,78,13,46,15,105,80,24,107,50,96,14,74,103,2,6,29,81,95,64,93,90,19,68,12,109,61,75,110,21,85,47,9,94,37,32,17,39,48,84,70,42,1,108,77,79,56,41,5,49,88,38,54,53,20,104,10,16,111,26,102,8,98,72,34,3,23,91,92,43,97,65,44
1: 69,28,63,60,67,82,22,59,25,18,89,55,31,7,40,35,11,45,4,112,83,100,86,99,30,106,71,51,36,73,62,76,58,66,78,52,87,101,15,80,107,13,57,105,29,6,96,14,2,46,81,90,33,12,27,19,24,93,85,94,37,50,110,74,103,32,61,47,109,68,64,95,39,48,75,17,9,21,49,104,84,56,5,38,54,20,108,70,26,79,42,1,53,77,41,10,88,91,111,16,8,102,92,3,98,72,34,23,43,97,65,44
1: 28,63,60,67,22,69,82,59,89,40,31,55,86,7,4,100,35,30,83,112,25,99,36,51,71,73,18,62,106,66,78,87,2,57,11,45,107,101,6,13,105,14,27,76,58,12,46,80,94,52,15,37,96,24,110,32,90,81,29,103,85,48,38,19,61,33,49,93,20,54,74,50,39,47,68,109,108,17,95,64,21,56,42,5,53,16,9,84,104,75,88,26,70,111,10,1,79,41,77,91,23,72,34,92,102,8,98,3,43,97,65,44
1: 28,60,67,69,63,22,82,59,86,40,89,7,31,4,55,36,83,30,71,106,112,25,51,99,18,66,100,73,62,35,107,105,45,87,57,58,2,78,12,6,27,110,46,15,52,37,29,11,13,76,32,103,90,101,48,24,14,94,33,96,80,81,85,61,38,49,93,95,19,68,74,17,54,16,20,39,84,5,64,108,42,47,50,21,56,109,41,10,26,104,91,53,9,88,111,75,77,70,79,23,1,72,34,43,92,65,102,98,3,8,97,44
1: 28,60,67,69,63,82,22,86,31,89,7,36,40,83,51,59,55,106,30,25,4,66,18,62,100,71,73,112,78,45,99,58,57,105,110,87,90,46,12,11,2,19,13,24,107,6,35,101,27,29,94,96,103,15,37,52,48,76,85,33,32,68,14,108,42,95,49,84,64,38,80,93,61,54,16,41,81,109,56,91,20,74,26,39,21,104,5,17,111,47,10,23,50,43,9,88,53,79,70,92,65,77,1,75,34,98,102,72,3,8,97,44
1: 28,60,67,69,63,31,36,89,82,40,86,51,22,55,106,7,4,25,83,66,18,71,59,30,73,110,105,2,100,62,90,78,46,58,87,112,85,13,24,45,12,94,6,27,99,29,96,35,19,11,57,103,107,37,101,49,95,15,48,61,32,84,64,41,68,54,76,74,108,52,33,39,26,14,80,81,16,56,38,42,104,93,91,20,109,47,9,10,17,5,21,43,53,88,79,77,111,23,65,50,92,75,70,1,34,98,102,72,8,3,97,44
1: 67,60,28,69,63,82,86,106,51,55,31,22,83,89,36,66,40,18,25,71,7,110,73,4,59,30,24,90,62,78,105,46,85,6,96,13,12,2,27,19,87,99,103,35,100,58,112,11,29,57,94,101,49,45,54,95,107,15,84,37,76,26,74,48,38,108,68,32,41,61,104,39,52,64,33,16,17,47,80,81,111,56,14,20,65,42,109,23,91,93,10,9,77,53,43,5,21,34,79,88,98,92,50,70,1,75,102,8,72,3,44,97
1: 60,28,69,67,63,82,106,51,55,22,36,89,83,31,86,66,40,4,110,90,24,25,73,18,30,59,71,12,62,78,6,7,2,105,13,85,99,46,96,19,27,101,94,87,54,103,95,58,57,35,29,107,45,15,49,112,108,100,74,84,11,37,48,38,26,41,68,47,32,76,61,42,104,33,109,91,81,16,9,64,52,65,39,80,17,34,93,20,23,98,56,77,10,111,5,14,92,43,79,53,21,88,70,3,1,8,102,75,50,44,72,97
1: 60,69,28,67,106,51,82,63,55,36,83,22,31,40,86,110,71,4,66,73,89,62,24,59,25,7,18,6,85,30,12,90,105,2,96,13,94,101,78,87,99,19,46,29,58,27,57,15,35,95,100,49,74,48,45,103,107,68,112,54,108,38,84,26,41,37,64,11,61,91,32,104,47,76,9,93,42,109,16,17,81,65,79,33,77,111,39,52,20,34,14,56,23,92,5,80,10,43,98,53,70,21,44,3,1,88,102,8,75,50,72,97
1: 60,69,82,106,67,63,28,55,51,36,31,86,22,83,4,6,71,96,24,62,40,18,90,25,89,85,66,105,13,73,2,110,30,59,94,12,7,99,87,19,58,57,101,15,27,78,46,107,45,29,95,54,49,48,35,108,74,100,41,68,84,61,26,64,38,103,112,77,81,32,79,37,47,11,91,111,33,9,16,109,104,20,17,76,93,42,92,5,34,65,39,52,56,23,98,80,14,70,21,1,43,10,53,44,3,88,8,102,75,50,72,97
1: 69,82,106,60,67,63,51,36,55,28,83,6,90,71,31,96,25,18,62,13,22,86,105,4,110,94,66,40,85,99,24,12,2,27,89,59,73,30,101,57,7,87,45,107,95,19,15,46,58,78,29,74,49,54,100,48,68,81,77,35,64,41,103,33,108,84,38,26,112,9,61,91,47,11,104,32,109,37,79,92,111,5,16,34,17,42,20,76,65,93,53,52,10,98,23,80,56,39,70,14,1,21,3,43,44,88,8,102,75,50,72,97
1: 82,69,106,60,55,67,36,63,28,51,83,71,25,6,4,18,90,31,62,96,22,105,66,94,13,86,40,89,110,12,73,24,85,30,27,59,2,57,101,99,107,87,46,15,19,78,74,29,95,45,7,54,41,49,64,58,81,26,108,68,48,100,61,32,35,77,47,37,91,103,84,112,109,9,33,11,38,104,111,92,16,79,5,34,42,17,65,56,20,76,53,10,93,23,52,80,21,98,43,14,70,1,39,3,44,88,8,50,102,75,72,97
1: 82,69,60,106,55,67,36,51,28,63,71,25,83,18,6,4,105,62,94,90,86,31,22,96,24,40,110,30,85,73,66,101,27,12,57,2,89,99,59,13,46,87,78,74,29,107,49,41,95,54,7,19,15,45,26,48,81,32,35,58,64,108,61,77,103,68,47,33,100,9,109,37,20,84,91,112,111,16,79,11,5,104,38,92,17,42,10,76,34,56,52,23,98,65,53,93,21,80,70,14,1,88,39,50,43,3,8,44,102,75,72,97
1: 69,67,82,60,55,106,36,51,28,63,90,71,94,31,4,25,24,18,83,30,96,22,6,86,105,62,40,78,46,2,110,12,101,89,99,73,66,85,57,59,27,87,13,29,35,74,107,45,7,41,49,54,95,19,15,48,26,81,32,58,100,64,108,103,61,77,33,9,68,37,47,109,20,84,91,38,112,79,16,76,42,92,111,104,56,5,11,17,10,34,52,65,23,98,53,80,93,70,21,39,1,14,50,3,43,88,8,44,102,75,72,97
1: 69,67,82,60,106,55,36,51,28,63,71,90,94,31,4,25,24,30,18,96,83,86,22,62,105,6,87,78,46,40,110,2,101,12,73,99,85,66,89,57,27,59,13,35,29,74,41,7,107,45,49,95,54,19,15,26,48,81,58,32,100,103,64,108,77,61,9,37,33,68,47,109,20,84,17,91,79,38,92,112,76,42,16,111,56,5,104,11,10,52,34,23,65,80,98,93,53,70,39,21,1,50,14,3,43,88,8,44,102,75,72,97
1: 67,69,60,55,51,106,36,24,82,25,63,96,22,87,28,105,31,40,30,18,94,6,90,86,71,83,4,89,27,62,2,12,46,99,110,78,35,59,66,101,85,13,48,73,19,57,58,7,45,29,74,32,100,49,41,26,108,95,77,15,37,92,54,68,107,109,9,11,33,84,16,81,38,112,103,47,76,53,56,61,42,17,5,1,111,79,20,52,39,10,80,93,64,104,91,70,23,3,50,98,8,34,21,44,88,43,65,14,102,75,97,72
1: 60,28,67,69,7,86,31,19,46,30,29,26,63,12,89,71,83,112,59,82,55,90,40,36,2,32,110,37,51,62,22,20,4,100,41,48,66,6,18,94,91,24,38,42,106,96,99,84,16,39,11,105,78,54,107,103,73,57,15,104,13,87,108,68,49,25,43,23,27,85,45,92,56,5,65,79,58,52,76,101,93,80,109,74,111,33,17,10,21,70,14,77,95,34,53,98,1,72,64,81,9,102,61,35,3,50,47,88,75,97,8,44
1: 60,28,86,55,67,69,40,89,7,19,31,4,110,90,36,2,63,83,82,105,51,46,18,22,12,30,24,37,71,26,66,106,112,6,94,32,96,62,85,100,39,87,25,13,59,27,29,73,84,41,48,103,74,43,49,99,38,54,78,58,104,108,16,95,56,68,107,15,11,79,91,20,101,23,65,77,61,92,64,80,45,10,33,5,53,93,57,111,9,52,35,14,21,81,17,76,109,34,88,1,98,42,102,47,70,50,72,75,3,8,97,44
1: 55,60,67,69,82,24,28,106,89,63,36,90,83,2,51,22,19,4,18,30,59,40,66,31,94,12,110,99,6,96,86,71,46,62,27,73,25,13,85,105,7,37,84,87,112,101,78,103,95,38,15,49,108,29,32,54,74,26,100,48,58,45,107,16,35,41,92,11,57,65,39,68,98,104,9,34,91,80,93,76,77,33,5,53,42,109,56,79,47,17,10,61,20,81,23,52,21,43,64,111,70,1,3,88,14,8,44,102,75,72,50,97
1: 55,67,60,69,28,106,82,63,24,83,36,40,22,51,90,31,94,59,18,89,2,4,19,30,96,99,7,12,110,66,6,71,62,73,25,87,105,86,85,101,13,27,46,48,74,100,15,29,112,38,78,84,68,58,49,95,45,57,26,35,108,103,37,41,107,11,32,16,93,92,65,9,39,54,77,79,91,76,5,104,33,61,109,53,42,80,56,111,17,98,64,52,10,47,20,34,81,1,23,43,70,21,14,44,8,3,102,88,75,50,72,97
1: 55,67,60,69,63,82,36,28,106,90,22,18,83,40,24,96,4,51,94,19,31,59,99,6,89,30,2,25,12,87,105,86,62,7,13,71,85,66,27,58,101,48,110,73,100,15,46,29,45,57,78,74,68,95,112,84,49,77,108,26,32,35,38,107,41,37,92,79,54,9,11,5,39,93,103,61,16,81,111,33,80,1,53,47,109,64,76,104,17,20,42,70,91,98,56,34,65,52,10,21,23,44,43,8,14,88,3,50,102,75,72,97
1: 55,67,69,63,60,90,36,106,82,28,83,18,51,40,6,24,96,4,25,99,22,27,94,31,12,2,59,87,19,13,86,30,89,62,105,45,71,7,100,46,110,66,101,85,58,48,57,15,73,74,95,29,77,78,112,68,84,107,49,35,41,92,38,37,9,108,32,5,81,26,11,54,103,79,33,109,53,93,16,47,111,104,61,1,80,91,17,76,64,39,42,70,52,10,56,98,20,34,65,44,21,3,23,8,43,14,102,88,50,75,72,97
1: 55,67,69,82,106,60,36,63,18,51,25,28,83,24,40,90,4,96,6,31,94,22,30,2,105,27,99,12,89,86,87,59,71,46,78,66,62,101,19,45,110,7,57,85,29,13,74,49,73,100,32,58,48,41,35,95,108,68,15,107,26,77,33,37,84,54,92,9,112,81,16,109,103,61,11,47,38,5,53,76,20,56,1,93,17,79,42,111,10,64,80,52,104,39,91,70,98,34,23,21,8,3,50,44,43,65,14,88,102,75,97,72
1: 67,60,69,63,51,106,36,25,71,105,82,94,22,96,28,24,55,86,6,40,87,110,30,62,31,46,89,90,101,18,73,4,57,13,27,35,83,85,15,107,99,12,26,54,74,95,58,78,59,100,77,41,2,66,29,9,48,7,61,81,109,45,49,32,64,19,47,37,108,17,20,111,103,33,79,91,92,5,76,16,112,68,11,42,56,84,21,34,23,10,98,38,104,53,65,80,70,52,1,39,50,44,93,88,14,3,75,102,43,8,72,97
1: 60,86,67,40,28,112,36,4,89,62,69,29,7,82,37,31,83,51,66,12,71,105,22,59,90,26,20,55,107,106,99,6,108,30,19,63,16,48,100,110,24,49,32,94,46,42,87,15,2,57,11,38,13,80,85,73,17,39,96,23,58,61,78,54,84,25,52,41,103,91,95,21,81,27,104,34,5,10,14,74,72,79,43,109,18,76,68,9,33,53,45,56,101,93,65,3,50,92,111,47,35,88,70,98,64,1,44,75,102,77,97,8
1: 60,86,28,7,67,82,69,40,83,90,89,51,22,31,66,55,36,30,46,12,29,62,63,106,26,6,94,71,96,110,107,37,112,4,19,108,24,2,48,59,100,11,41,78,32,16,13,99,42,23,25,85,105,58,18,87,38,20,73,91,95,45,49,15,104,101,52,103,57,65,54,56,111,39,80,68,43,84,109,27,14,61,17,92,21,33,93,5,64,47,10,74,76,9,34,81,53,79,88,70,72,50,3,35,77,98,1,102,75,44,97,8
1: 60,86,82,28,40,55,83,69,51,90,7,89,67,31,22,66,71,96,12,63,36,2,106,46,24,4,94,37,29,105,110,6,26,41,85,19,25,62,30,13,78,108,95,107,18,58,87,112,100,32,39,59,73,49,11,48,99,103,16,27,38,23,101,45,61,15,74,43,42,20,84,104,52,80,56,68,64,65,91,54,47,57,9,10,53,77,79,111,88,109,14,92,81,35,93,17,21,33,5,76,34,72,75,50,70,98,1,102,3,44,97,8
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1: 60,69,82,67,55,106,22,63,86,28,51,36,71,96,31,90,40,83,105,6,4,89,18,99,94,24,25,30,85,12,66,62,101,87,13,100,73,7,46,19,2,15,59,110,107,29,27,58,108,74,57,95,61,37,48,78,26,9,45,32,77,49,39,112,35,41,103,64,54,38,79,11,109,111,81,16,84,5,47,91,42,92,93,80,17,76,20,44,34,68,56,21,65,104,23,33,52,1,53,70,98,14,10,43,88,3,102,72,75,50,8,97
1: 69,60,82,67,106,63,86,55,28,51,90,36,22,71,83,96,40,6,25,31,4,99,18,62,105,94,13,12,100,24,87,46,110,101,30,89,85,66,27,73,2,107,7,15,59,74,57,95,19,29,58,9,45,77,37,48,78,61,108,35,112,109,41,49,32,26,64,81,54,103,11,38,79,111,84,39,92,91,17,16,5,47,68,76,80,104,42,34,93,21,53,33,56,44,20,70,65,52,1,98,10,23,14,3,43,102,88,72,75,50,8,97
1: 69,82,60,106,67,63,71,25,55,36,28,86,90,22,18,51,83,87,40,62,6,31,4,96,13,30,105,101,12,24,94,46,66,110,107,89,73,99,27,15,74,100,57,85,2,95,7,59,41,29,58,78,64,19,61,9,45,77,109,35,54,37,108,48,32,26,81,47,49,91,111,92,17,103,68,11,112,21,34,79,5,39,56,76,42,84,80,38,53,33,93,104,65,16,20,44,23,70,10,1,98,52,3,14,43,75,50,88,102,72,8,97
1: 69,82,67,60,106,28,55,25,63,36,86,71,51,22,6,105,101,90,4,30,87,31,46,18,96,40,62,83,27,94,24,99,73,66,89,12,57,100,74,110,2,107,13,85,15,7,59,95,29,78,9,35,41,77,32,61,48,58,45,109,49,81,19,37,26,64,54,108,17,33,20,47,103,111,79,76,112,91,84,16,92,5,21,68,39,56,42,34,10,80,11,38,98,23,53,104,70,1,52,44,93,65,14,3,50,88,75,102,43,8,72,97
1: 69,82,60,67,106,28,55,63,71,36,30,51,25,4,22,96,31,90,86,6,101,46,105,24,94,62,18,83,40,99,87,89,73,57,66,12,27,74,78,110,100,107,13,35,85,15,59,2,29,9,95,41,77,7,48,61,32,49,109,45,81,19,58,26,64,37,54,108,17,20,33,47,79,103,111,112,76,91,16,5,92,21,84,56,42,68,34,11,80,38,10,39,98,23,104,53,70,1,52,44,93,65,14,50,3,88,75,102,43,8,72,97
1: 69,67,60,106,82,55,71,28,63,36,51,30,31,25,96,22,94,4,105,90,46,24,101,86,6,62,87,83,18,40,99,110,57,12,73,89,78,27,74,66,13,85,107,15,35,2,41,59,95,100,29,77,7,9,45,61,48,81,49,109,32,54,64,58,26,19,37,108,47,17,33,103,20,111,79,91,92,76,5,112,16,84,68,42,56,34,11,21,10,104,38,23,98,53,70,80,65,39,1,52,50,93,44,14,88,3,75,102,8,43,72,97
1: 69,60,82,67,63,28,55,51,106,30,25,22,105,36,86,31,83,24,4,6,90,18,87,40,94,46,27,96,7,101,71,89,35,78,59,12,99,85,62,73,45,2,66,100,29,58,110,57,95,107,13,49,48,76,19,81,11,33,74,32,9,61,37,108,15,112,26,42,52,80,41,68,84,38,103,109,77,47,64,16,56,79,39,17,20,111,93,70,104,54,1,53,34,23,50,92,3,14,21,10,91,88,98,5,75,65,102,44,43,8,72,97
1: 28,69,63,60,25,67,55,59,35,82,45,100,112,11,7,40,22,73,30,27,101,110,106,89,105,4,83,18,31,76,36,24,99,58,86,2,62,46,33,71,80,78,6,93,94,13,66,51,52,29,87,50,12,85,14,19,81,15,57,107,109,96,42,90,74,61,21,95,64,39,1,9,48,68,103,37,32,49,70,38,47,84,108,75,56,17,79,88,41,16,77,53,10,3,102,5,104,20,54,91,98,34,72,26,23,111,97,92,8,43,44,65
1: 28,69,63,25,60,55,67,59,35,82,45,100,112,11,73,7,40,22,30,101,4,106,110,27,89,83,18,31,76,105,36,24,99,58,86,2,62,33,46,71,80,78,93,13,94,6,66,51,52,29,87,50,12,85,14,19,81,57,15,107,109,96,42,90,74,95,61,21,64,39,9,1,48,103,68,37,49,70,32,38,47,108,84,75,56,17,79,88,41,77,53,16,10,3,102,104,5,20,54,91,98,34,72,26,23,111,97,92,8,43,65,44
1: 28,63,69,60,55,67,59,25,82,22,45,35,40,7,89,11,112,30,83,100,18,31,4,106,73,110,78,86,99,36,105,101,62,76,58,94,6,51,27,85,80,71,52,66,2,12,29,93,13,46,24,87,33,14,81,107,19,50,15,96,109,57,49,37,90,61,39,9,32,74,21,68,48,42,95,1,38,103,70,64,47,84,108,56,75,17,104,79,53,88,10,3,5,20,41,26,77,102,16,54,91,72,34,23,111,98,97,92,43,8,44,65
1: 28,63,60,69,67,55,59,82,22,40,25,30,35,7,100,89,86,112,83,31,4,45,99,73,106,51,110,36,18,2,78,27,101,11,105,6,94,66,62,71,58,87,85,12,13,46,80,76,24,57,107,93,14,81,29,52,19,33,96,37,38,61,49,50,90,15,39,42,109,9,21,48,74,32,108,68,103,95,64,70,17,56,84,16,1,20,88,47,53,104,79,75,10,26,5,54,91,23,34,41,77,3,72,102,111,98,97,43,92,8,65,44
1: 28,60,63,69,67,82,55,59,25,30,22,7,40,83,89,106,86,35,100,36,4,31,112,51,99,45,18,105,110,73,27,6,66,71,58,94,62,2,13,46,11,87,78,101,29,12,85,24,80,76,57,107,52,33,93,19,81,37,15,90,61,49,14,96,38,48,39,42,32,95,21,17,74,50,84,68,103,16,108,109,9,64,20,56,70,79,1,88,10,26,54,41,104,47,5,53,91,75,34,72,23,77,3,102,98,111,97,43,92,65,8,44
1: 28,60,63,69,67,82,55,25,7,30,22,59,83,40,86,106,89,100,36,31,51,4,45,18,35,105,73,112,78,27,6,110,24,94,66,58,11,62,46,2,71,101,12,13,99,87,29,85,90,57,19,96,76,80,107,52,33,93,15,49,42,48,108,39,61,37,32,81,84,95,38,14,68,21,103,64,109,16,74,9,50,17,41,56,70,26,104,79,20,88,1,10,91,23,54,47,5,53,77,111,34,3,98,75,43,102,72,92,65,97,44,8
1: 28,60,69,63,67,82,55,25,7,22,83,40,59,30,86,31,36,100,4,106,89,51,105,18,35,24,110,2,45,94,46,6,78,27,112,73,66,58,11,71,99,29,87,85,12,13,62,101,90,96,19,76,57,80,107,49,33,39,95,42,61,52,108,32,15,37,93,84,81,48,68,9,74,64,103,38,41,16,21,14,79,56,109,26,17,88,1,50,10,20,70,47,104,77,53,54,23,91,34,111,5,3,98,75,43,102,72,65,92,97,44,8
1: 28,60,63,67,69,55,82,83,25,22,59,7,30,106,86,31,40,24,18,51,36,89,4,35,105,100,78,6,46,110,27,94,73,66,99,45,71,2,101,11,58,112,87,12,96,90,29,62,85,19,76,13,57,49,80,107,95,39,52,108,84,15,33,9,42,37,103,61,81,32,38,48,74,68,93,64,41,16,26,109,17,21,14,79,56,104,54,47,1,23,77,50,20,70,88,34,10,53,111,98,91,3,75,5,65,102,43,72,92,44,8,97
1: 28,69,60,63,67,82,55,83,22,25,106,30,59,7,4,40,24,31,51,36,18,89,86,35,78,105,6,46,100,27,101,94,110,66,73,12,99,90,45,71,2,58,87,96,11,85,29,62,112,19,13,57,76,95,108,107,80,52,49,42,15,9,33,84,37,103,38,48,74,61,81,32,39,68,93,41,109,16,26,64,79,17,14,47,21,56,54,70,104,1,77,20,34,23,50,88,10,3,53,98,111,91,75,5,92,65,102,72,43,44,8,97
1: 28,69,60,63,67,82,55,83,22,7,25,106,30,51,59,4,40,31,36,86,24,18,105,35,6,101,100,89,73,94,46,110,78,27,66,12,45,71,90,99,87,2,62,96,85,58,29,112,19,11,13,57,76,49,95,108,15,107,80,52,42,38,33,48,61,68,74,84,9,37,81,103,39,93,32,64,41,79,109,17,16,26,14,47,56,77,104,70,1,21,20,23,34,54,3,50,91,53,111,88,10,98,75,102,92,65,5,44,43,72,8,97
1: 69,63,60,82,67,28,55,22,106,25,36,83,30,4,7,51,31,86,59,40,18,105,24,6,35,94,100,101,89,27,45,90,96,99,87,78,71,46,12,73,66,58,62,2,85,110,29,19,112,13,11,57,107,76,49,15,95,108,33,80,48,81,52,61,42,38,74,39,9,84,37,103,68,32,64,93,79,41,109,17,77,16,47,26,1,70,14,56,104,20,21,23,34,54,50,53,3,111,88,91,5,10,98,92,75,102,65,44,43,72,8,97
1: 69,82,63,28,60,67,55,25,36,106,4,83,22,51,30,7,105,31,86,59,40,18,6,24,27,45,90,35,100,94,99,101,96,46,87,71,78,12,89,66,2,62,85,73,58,13,29,57,11,19,112,110,95,49,107,76,15,33,80,81,48,9,61,108,38,74,42,52,37,84,103,64,68,39,32,109,41,77,79,93,16,17,47,26,56,70,1,104,14,111,34,53,21,20,54,3,23,50,5,91,10,92,98,88,75,102,65,44,72,43,8,97
1: 82,69,60,63,28,67,55,83,106,4,36,25,22,51,30,31,105,86,18,7,6,90,40,24,27,59,87,94,12,101,78,96,71,46,66,89,100,99,45,35,2,62,73,85,58,29,57,13,19,95,107,49,11,110,76,74,112,33,48,15,108,61,37,81,80,41,42,9,32,84,68,38,52,64,103,109,26,39,79,77,47,56,16,17,93,70,111,104,1,53,34,54,20,23,92,14,3,21,50,10,91,98,5,88,65,102,44,75,43,72,8,97
1: 82,69,60,67,63,28,55,106,83,36,4,25,51,105,22,30,86,31,18,6,90,24,7,40,87,94,27,101,59,46,96,99,78,71,12,35,89,2,45,66,85,62,100,73,29,58,57,49,19,107,95,76,13,48,110,33,81,74,11,112,41,32,61,9,37,15,108,42,80,52,68,84,26,103,38,109,77,16,79,47,64,39,56,17,20,70,93,111,104,1,34,53,50,54,23,92,21,14,3,10,91,98,88,5,75,65,44,102,43,8,72,97
1: 82,69,60,67,63,55,28,30,83,106,36,4,22,51,25,105,31,90,86,6,24,18,94,40,101,7,46,59,27,78,96,99,87,35,71,89,12,66,2,45,85,62,73,100,29,57,58,49,19,107,95,76,13,48,33,110,81,74,112,11,32,41,61,9,15,37,108,42,80,52,68,84,26,38,103,109,77,16,64,79,47,56,17,39,20,70,93,104,111,34,1,53,50,54,23,92,21,14,3,91,10,98,88,5,75,65,44,102,43,8,72,97
1: 69,82,60,67,63,28,55,106,30,83,4,36,22,51,25,105,31,86,90,24,6,18,94,40,101,46,7,87,27,59,78,96,99,71,35,89,12,2,66,45,85,62,100,73,29,57,58,49,19,95,107,76,13,48,110,33,81,74,11,112,32,41,9,61,37,108,15,42,80,52,68,84,38,26,103,109,77,16,56,64,47,79,39,17,20,70,93,111,104,34,1,53,50,54,23,92,21,14,3,10,91,98,88,5,75,65,44,102,43,8,72,97
1: 67,60,69,51,82,36,63,55,106,28,22,94,71,24,105,25,96,40,62,6,90,86,4,31,18,110,30,83,87,85,89,46,66,78,27,101,12,73,99,2,13,59,54,35,57,107,7,26,45,29,95,48,49,41,74,47,15,58,19,32,108,64,81,77,103,61,109,37,9,91,68,111,100,33,20,16,112,79,11,38,76,17,5,23,10,84,42,56,52,92,104,65,93,34,21,39,80,70,88,14,98,53,43,50,3,1,44,8,75,102,72,97
1: 69,67,82,60,55,106,36,51,63,28,94,90,31,71,83,4,22,24,18,96,62,40,6,25,105,30,86,110,87,46,85,78,66,101,12,99,89,2,59,27,73,57,13,45,29,35,49,54,107,7,41,74,95,48,26,19,58,47,32,15,64,81,108,103,77,68,61,109,37,91,100,33,111,9,20,112,16,38,76,79,5,17,42,10,23,11,84,56,104,92,52,65,34,93,21,39,80,70,98,14,88,53,43,50,3,1,44,8,75,102,72,97
1: 67,28,60,69,2,26,7,31,59,89,55,112,83,18,19,86,29,4,46,32,71,12,30,63,90,82,91,40,62,36,20,107,51,37,110,66,84,41,99,22,24,48,6,94,57,105,96,73,25,49,106,42,54,45,16,27,104,103,85,11,78,100,108,13,38,65,68,58,23,111,87,14,52,92,15,56,109,10,43,17,5,93,64,39,101,76,88,53,81,80,33,21,47,95,75,77,50,61,72,79,97,8,70,102,35,98,44,74,9,3,34,1
1: 2,60,28,69,67,55,18,4,40,89,86,26,90,83,36,31,110,19,7,66,71,51,105,63,82,13,25,37,30,24,106,59,85,84,112,46,12,41,27,32,6,29,22,96,62,73,49,107,94,48,91,20,103,87,58,99,45,54,57,16,78,11,68,43,100,64,104,108,39,61,74,42,95,38,53,65,15,23,52,77,10,111,88,14,92,47,109,56,35,81,33,80,101,17,5,93,75,76,79,9,21,3,34,1,50,72,97,8,70,102,98,44
1: 55,67,60,69,24,2,106,82,89,28,18,90,51,63,19,4,86,36,83,22,37,94,30,66,59,110,71,85,40,31,13,62,96,12,26,73,25,6,99,84,46,27,105,108,7,15,112,49,107,41,103,54,101,32,91,95,3,58,78,29,65,23,11,42,45,9,81,104,87,38,16,109,34,48,35,57,74,92,47,43,20,39,56,100,77,68,111,61,52,64,33,8,53,10,76,44,98,17,88,75,14,93,80,79,5,70,21,97,102,1,50,72
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1: 67,55,69,94,36,106,82,51,62,63,31,60,71,90,22,96,28,25,40,30,24,83,99,110,6,87,4,46,18,105,12,101,74,13,59,73,15,86,89,35,66,57,41,85,2,78,45,109,27,48,77,29,95,9,58,7,49,19,107,92,100,47,32,17,26,54,37,81,108,103,61,42,33,16,11,111,1,104,20,64,112,84,79,23,5,38,68,76,56,34,52,70,53,80,93,65,50,21,98,44,88,91,10,14,39,8,3,75,102,43,97,72
1: 67,60,82,69,51,94,71,36,63,105,106,55,25,86,24,22,28,96,90,31,6,87,62,30,46,18,110,89,83,40,101,4,73,85,78,13,27,66,57,26,35,2,95,54,107,99,12,48,29,58,81,59,74,41,45,32,7,15,47,49,61,19,77,64,9,37,103,108,100,109,68,33,111,42,92,20,79,104,17,11,16,52,76,91,84,56,34,53,23,112,38,98,65,80,10,70,3,5,88,93,39,21,44,50,14,1,43,8,75,102,97,72
1: 28,69,25,63,35,73,55,82,67,60,40,112,7,100,59,45,101,105,22,110,62,58,30,106,83,11,4,36,14,78,76,15,31,94,29,27,6,95,24,71,2,50,93,18,51,89,66,80,81,47,46,109,107,12,13,85,33,9,86,61,90,99,52,57,64,21,42,19,103,74,87,39,1,96,68,75,88,91,49,70,32,48,104,37,34,38,54,5,10,102,98,84,77,56,97,20,72,79,3,108,17,23,26,16,41,53,111,65,44,43,92,8
1: 28,25,69,63,35,55,82,67,60,40,73,112,7,100,59,45,106,101,22,4,110,62,58,30,95,27,83,11,105,36,14,78,76,15,31,94,29,6,24,71,2,50,93,18,51,89,66,80,81,47,46,109,107,12,13,85,33,9,86,61,90,99,52,57,64,21,42,19,103,74,87,39,1,96,68,75,88,91,49,70,32,48,104,37,34,38,54,5,10,102,98,84,77,56,97,20,72,79,3,108,17,23,26,16,41,53,111,65,44,43,92,8
1: 63,69,55,82,22,62,89,18,59,31,83,67,85,60,7,40,106,28,35,4,30,45,78,94,71,25,86,105,14,76,58,6,101,49,51,66,73,2,100,29,11,46,36,93,81,107,37,80,109,52,110,12,112,99,13,104,61,9,15,50,27,10,57,53,32,87,95,39,70,21,74,68,24,96,47,75,88,3,23,19,91,90,33,1,42,38,79,103,72,97,54,5,34,84,77,26,56,20,44,102,108,17,64,111,48,98,43,41,8,65,16,92
1: 31,51,60,4,38,89,66,82,56,86,87,63,40,94,7,49,100,83,61,22,105,71,62,85,12,32,20,81,78,28,6,46,84,2,74,37,17,26,110,35,99,9,58,29,55,112,107,73,80,54,67,36,57,13,34,88,59,52,69,48,109,5,50,53,30,104,106,16,103,27,108,39,101,14,24,70,23,15,98,68,96,43,21,75,76,45,91,90,19,18,64,47,92,10,42,79,3,41,33,1,72,95,25,77,97,11,93,102,44,8,65,111
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1: 60,82,86,55,83,67,69,28,24,51,22,66,31,96,71,6,106,63,89,90,46,78,36,18,7,30,4,40,105,87,94,73,19,29,2,26,59,25,110,27,84,12,37,62,85,39,101,108,49,13,48,95,103,54,58,99,35,32,16,112,11,57,100,68,52,41,107,61,45,38,42,76,65,23,74,15,17,104,64,34,56,81,77,79,43,20,111,9,47,80,10,33,98,14,92,93,91,109,70,53,21,88,3,1,5,44,102,8,72,75,50,97
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1: 25,28,63,69,67,55,40,100,112,35,82,59,7,45,60,58,73,4,36,22,78,83,101,31,95,76,106,24,2,80,18,33,105,30,90,110,12,6,27,51,99,11,66,89,62,42,71,85,94,29,19,47,14,52,15,50,81,109,103,61,46,107,9,13,74,93,39,86,49,5,57,68,32,1,96,104,38,48,87,75,56,34,37,21,64,70,88,79,108,77,84,20,16,10,97,3,17,23,72,102,91,98,26,54,41,53,111,8,92,44,65,43
1: 69,28,55,67,59,31,63,18,40,22,60,89,4,112,7,25,82,62,58,83,78,36,85,100,45,2,51,80,71,94,35,106,30,73,76,99,29,110,101,6,12,66,104,37,105,81,90,86,107,11,19,39,52,15,49,95,47,61,14,109,32,13,93,27,42,46,24,5,33,1,9,50,96,57,74,87,56,70,103,75,10,54,26,68,97,108,38,48,79,34,20,84,77,21,64,91,72,17,3,53,23,102,88,98,8,111,92,41,16,44,65,43
1: 67,28,31,40,55,2,63,89,4,60,69,59,83,22,100,112,30,78,36,62,99,51,82,7,86,73,71,85,105,94,35,106,66,6,110,58,27,39,101,12,18,90,57,80,37,32,38,49,107,25,20,108,19,42,87,81,76,14,54,61,45,15,109,13,46,48,5,29,96,24,103,26,74,95,104,56,1,52,47,16,11,10,34,23,93,9,17,33,70,77,88,91,50,64,84,53,97,21,72,68,79,111,98,41,75,102,8,92,3,44,43,65
1: 67,28,7,60,4,55,40,31,59,63,112,69,83,22,71,89,36,86,82,30,100,105,110,99,106,2,51,62,12,66,73,49,19,6,94,90,20,27,38,37,58,29,18,42,107,85,57,76,15,25,46,39,78,103,84,48,52,54,45,80,32,101,13,24,35,96,104,33,108,87,61,91,95,5,93,74,26,81,17,16,23,11,34,109,10,56,14,77,41,68,47,64,79,1,9,72,111,102,70,21,65,88,50,92,97,98,3,43,8,53,75,44
1: 28,67,7,60,55,31,63,69,40,59,22,19,30,82,83,36,86,4,89,90,112,100,51,2,106,71,62,110,12,66,18,46,25,94,6,73,42,78,105,29,99,58,32,45,38,13,48,103,57,85,26,24,96,27,49,39,54,20,84,91,104,37,15,101,107,52,108,76,33,11,87,16,109,41,5,56,80,68,93,95,74,64,35,23,79,111,14,81,65,92,43,1,61,77,70,9,98,21,17,47,88,102,10,34,3,97,50,8,53,72,75,44
1: 28,67,40,60,55,36,69,63,31,7,4,83,2,89,90,82,22,86,19,110,59,51,106,30,18,105,66,112,100,6,85,25,94,13,46,73,12,71,24,78,62,29,58,27,96,99,32,49,45,74,84,103,48,39,26,95,87,54,104,37,38,101,64,42,33,108,61,11,35,107,15,77,41,57,20,91,80,68,79,16,56,43,109,76,23,14,52,111,81,9,93,65,1,92,47,88,53,10,98,17,5,21,34,70,102,50,75,8,3,72,97,44
1: 67,55,60,63,82,28,69,83,40,106,31,36,86,90,22,24,51,19,110,7,18,66,4,89,6,94,96,25,2,30,59,78,62,112,105,85,73,12,27,13,71,99,46,100,103,49,29,35,101,38,84,26,58,45,32,87,54,95,104,74,37,11,39,15,48,108,33,76,42,77,107,16,80,41,57,111,68,65,61,20,98,109,34,64,17,52,91,81,47,23,92,9,56,43,93,53,14,79,10,5,1,21,88,50,70,102,75,8,3,72,97,44
1: 67,55,60,63,82,28,69,106,36,83,90,40,22,24,51,4,89,31,18,59,6,110,94,12,30,2,66,19,25,96,7,85,73,62,78,99,105,27,13,46,71,101,86,112,100,58,29,49,84,95,45,38,35,103,15,74,108,32,87,48,54,37,26,107,42,57,104,68,34,80,11,41,98,109,33,9,77,76,47,16,92,81,91,65,39,17,93,52,20,61,64,23,79,56,10,53,5,111,14,3,1,70,43,8,21,88,75,50,102,44,72,97
1: 67,55,69,63,60,28,106,82,40,83,36,22,90,51,31,94,24,4,59,18,6,7,30,12,19,96,25,110,2,66,85,99,101,73,105,62,89,71,13,100,78,86,87,29,27,112,58,48,35,49,45,38,46,74,15,68,84,95,103,108,57,26,107,41,32,79,11,42,9,37,92,16,64,77,93,109,61,17,33,104,54,76,65,81,47,91,98,34,39,52,80,111,20,1,53,70,5,10,23,56,14,43,44,3,8,102,50,75,21,88,72,97
1: 67,55,63,60,69,82,36,106,90,28,40,22,96,83,51,4,18,31,94,24,99,6,25,59,30,19,12,13,105,85,2,7,58,62,89,71,66,86,101,45,100,87,78,27,73,29,110,35,49,48,15,57,84,112,46,68,107,108,95,74,79,77,38,32,81,26,41,103,54,11,61,92,9,33,64,1,42,37,17,93,47,16,109,80,39,104,76,111,52,20,70,91,5,98,34,53,65,56,23,21,10,14,44,3,43,8,50,102,75,88,72,97
1: 67,55,63,69,82,90,36,106,83,40,28,51,60,96,18,4,25,99,94,31,6,24,22,13,12,59,27,105,45,58,2,71,100,19,62,101,86,7,87,30,66,85,89,78,110,46,29,49,57,73,35,48,112,15,74,107,95,84,81,68,77,38,41,9,32,103,79,92,108,11,33,54,26,64,1,37,42,61,109,47,53,80,17,16,104,5,52,91,76,93,20,111,70,98,34,39,56,3,10,23,65,14,21,44,43,8,50,102,75,88,72,97
1: 67,55,63,69,82,36,106,90,40,83,25,60,18,28,4,31,94,51,24,6,22,12,96,71,99,105,59,13,66,30,78,2,27,45,87,58,7,19,100,62,101,89,86,46,85,73,110,29,57,74,35,49,107,15,41,95,32,48,81,68,33,112,108,26,84,37,11,92,47,9,54,77,64,42,1,103,61,80,38,53,109,79,16,56,17,93,76,91,52,104,70,111,20,5,34,98,3,39,10,50,21,23,43,65,14,44,8,102,75,88,72,97
1: 55,67,69,82,36,106,63,60,40,18,28,51,90,83,4,25,31,94,24,96,6,71,99,12,105,22,59,78,30,2,87,27,101,86,45,66,46,89,49,62,29,7,13,58,57,35,19,73,100,85,32,74,33,41,110,48,81,107,95,108,26,68,9,112,84,103,15,54,16,37,92,77,47,61,11,42,64,79,20,76,1,53,109,38,17,56,52,104,111,70,5,80,91,93,50,98,34,3,39,10,23,21,8,14,65,43,88,44,102,75,97,72
1: 55,69,67,82,36,63,106,60,4,24,31,28,96,83,90,51,25,94,18,40,6,22,71,78,99,59,30,105,12,35,2,45,101,66,49,46,89,62,86,27,29,87,57,13,19,7,73,32,33,74,85,100,58,41,110,48,81,107,26,108,95,112,68,9,84,103,15,16,42,54,37,61,77,47,92,76,11,64,38,79,20,1,56,109,53,17,52,104,111,80,70,93,91,5,50,98,34,3,39,23,21,10,8,14,65,88,43,44,102,75,72,97
1: 69,67,55,106,82,63,36,60,31,24,90,51,4,96,28,25,94,83,40,71,30,18,22,6,78,87,99,12,105,59,35,2,101,46,86,62,66,45,27,89,29,13,49,110,7,73,57,100,19,85,32,41,58,74,33,48,81,107,26,95,108,9,103,68,37,112,84,42,92,54,77,16,15,47,76,61,38,17,11,79,64,109,20,56,1,53,52,111,80,104,70,5,50,91,93,98,3,34,39,23,10,21,8,14,88,43,65,44,102,75,97,72
1: 67,60,69,82,55,51,36,63,106,28,96,71,24,94,22,6,4,105,30,25,87,83,31,86,90,40,18,46,89,66,12,78,59,99,73,27,2,29,62,49,7,45,101,85,35,32,110,26,13,19,48,58,57,81,100,74,107,33,41,37,108,95,9,54,68,84,20,112,16,61,15,76,11,103,17,79,47,77,38,42,64,92,52,56,109,53,104,91,98,1,80,111,39,70,93,5,34,10,50,65,21,23,3,14,8,43,102,88,44,72,75,97
1: 60,28,67,7,69,86,30,63,82,31,22,46,55,83,51,90,4,36,89,12,71,6,40,19,59,18,62,106,29,100,2,32,66,105,87,25,96,94,57,48,26,112,24,45,73,108,78,20,84,85,39,13,110,99,37,38,103,107,41,101,42,58,15,27,49,76,11,16,91,68,52,104,79,56,54,74,23,95,111,109,17,43,33,92,81,10,61,14,35,93,64,65,80,9,5,21,77,47,70,34,98,88,53,72,50,3,1,102,8,97,75,44
1: 60,28,55,86,67,69,31,83,22,7,4,82,2,90,40,46,36,6,89,63,51,19,71,105,30,18,24,12,87,66,85,106,110,32,96,39,94,100,59,29,13,26,25,78,112,84,73,27,99,37,108,62,41,74,49,20,45,103,48,58,107,95,68,61,54,79,15,11,77,16,57,56,38,42,101,43,104,76,64,35,33,10,91,80,52,53,23,65,9,17,111,34,109,81,92,93,14,47,21,98,1,88,5,70,102,3,50,72,8,75,97,44
1: 60,55,67,86,83,69,28,82,31,24,22,106,63,6,4,51,66,19,96,89,71,36,18,46,40,7,90,2,30,105,94,87,73,84,62,26,32,59,110,29,37,112,13,12,78,27,85,103,25,49,99,101,54,48,38,74,35,45,100,16,95,76,39,68,20,57,108,11,104,107,61,58,15,42,65,41,17,77,79,98,33,34,91,64,43,111,56,53,109,52,23,80,81,92,10,9,14,47,93,21,70,1,5,3,88,72,102,50,8,44,75,97
1: 60,55,82,67,69,83,28,106,22,24,63,6,4,51,36,89,96,31,66,90,2,30,71,18,46,59,19,86,40,94,73,12,105,7,85,87,101,84,99,27,32,25,78,110,112,13,62,37,38,95,29,49,103,108,48,45,26,15,35,74,57,54,16,100,58,107,68,41,34,42,104,98,11,39,91,65,92,76,79,33,9,20,77,109,81,61,17,56,52,53,80,64,47,23,14,93,10,43,3,70,21,111,8,5,102,1,44,72,88,75,50,97
1: 55,60,67,69,82,28,83,106,22,63,51,31,36,4,96,24,6,94,90,71,30,86,40,66,2,59,19,105,89,18,7,101,87,73,85,46,12,99,29,13,25,62,84,48,68,27,110,49,112,38,45,100,78,32,57,74,35,79,58,26,15,95,37,108,107,103,41,16,11,42,61,64,76,65,91,39,17,77,54,92,81,9,98,52,104,20,33,34,93,109,56,53,111,10,23,14,47,80,43,70,3,1,5,8,21,102,44,50,72,75,88,97
1: 60,55,82,67,69,63,28,106,22,36,96,4,51,83,6,90,31,24,18,94,86,71,30,105,87,19,2,66,59,99,89,40,25,85,13,12,7,101,46,62,29,73,45,27,58,57,48,49,84,32,100,78,107,15,79,68,112,108,26,110,35,95,74,41,81,38,37,77,54,33,103,64,61,16,11,17,92,42,76,39,9,20,104,93,98,34,53,56,65,52,109,47,91,111,70,80,1,5,21,23,10,14,43,3,102,44,8,50,88,72,75,97
1: 55,82,69,67,60,106,28,63,36,83,90,51,4,96,6,18,22,86,24,31,71,94,25,99,87,105,59,66,27,30,40,2,13,45,89,46,12,19,101,7,62,29,85,57,49,100,73,78,58,110,48,84,68,74,95,32,107,37,35,112,41,81,15,77,9,79,26,38,108,103,54,33,11,16,64,92,61,42,104,76,17,53,91,109,20,98,52,80,70,93,5,39,34,56,111,1,65,47,10,3,14,21,23,43,102,8,44,50,88,72,75,97
1: 55,82,67,69,60,36,28,106,4,51,63,96,83,90,94,30,6,24,22,31,18,71,105,25,86,46,40,59,99,78,89,66,12,101,87,2,29,45,49,27,73,19,32,57,7,13,85,62,35,48,100,74,41,33,58,107,110,26,81,108,84,68,95,37,112,16,9,20,103,61,54,15,79,11,76,64,42,77,92,38,17,56,47,52,53,109,104,91,1,111,98,70,80,34,5,93,39,10,50,65,21,23,3,14,8,43,102,88,44,72,75,97
1: 69,67,55,82,60,106,36,28,51,63,4,96,83,90,30,94,6,31,22,71,24,18,105,87,25,86,46,40,59,99,66,89,12,78,101,2,29,49,27,45,73,19,32,7,57,85,13,62,35,48,74,100,41,110,58,33,107,26,81,84,108,37,95,68,112,16,9,20,103,61,15,54,11,79,38,17,76,64,92,42,77,56,47,52,109,53,104,91,98,1,111,70,80,34,5,39,93,10,50,21,65,23,3,14,8,43,102,88,44,72,75,97
1: 60,69,67,82,51,63,106,55,105,22,25,36,71,94,28,96,24,6,86,31,90,30,87,46,4,40,18,27,83,89,78,101,73,12,35,2,99,62,66,29,13,48,85,7,26,110,59,57,45,81,58,32,49,41,100,95,107,108,74,19,9,68,54,37,76,15,33,61,77,11,20,84,103,42,64,16,79,52,47,92,56,17,38,109,53,80,112,39,111,70,1,104,5,91,93,98,34,3,10,50,23,65,21,102,8,14,88,44,43,75,72,97
1: 69,82,67,60,55,106,28,63,51,36,31,4,90,94,30,6,96,24,71,83,105,22,86,25,46,18,87,101,78,66,2,40,99,27,12,89,29,35,59,73,62,45,41,7,49,57,85,13,32,48,107,74,100,95,19,81,26,110,58,33,68,108,37,84,76,9,61,103,79,42,16,64,17,54,56,15,20,77,38,92,11,47,112,52,109,53,80,70,104,39,1,5,91,34,111,98,93,3,50,10,65,23,21,8,102,14,88,44,43,75,72,97
1: 55,67,106,69,82,60,18,36,94,63,40,25,96,24,31,87,51,28,99,6,90,89,13,30,2,86,4,46,83,71,59,62,12,27,19,110,105,74,101,15,85,7,66,45,73,5,78,35,41,107,95,100,57,29,58,49,77,54,48,32,26,111,81,92,37,22,108,17,103,64,61,112,33,68,91,9,20,93,109,11,84,10,1,42,16,47,38,53,79,56,104,76,8,98,44,88,34,23,65,70,50,21,39,80,52,3,14,102,75,43,97,72
1: 67,69,55,60,82,36,63,94,106,51,24,90,18,31,96,71,28,40,83,22,30,25,62,110,99,87,46,6,4,86,85,13,89,12,2,66,105,59,78,74,101,73,35,41,54,19,58,29,107,49,57,27,26,48,32,45,111,5,47,15,7,92,103,100,68,64,81,108,95,77,91,37,109,61,38,33,16,20,11,9,112,42,56,53,10,76,84,17,79,1,93,23,88,34,104,98,52,39,80,65,21,3,70,50,44,43,8,14,102,75,72,97
1: 67,60,69,63,82,51,55,94,106,36,22,71,25,28,96,90,86,30,31,6,24,87,105,40,46,83,4,18,89,12,78,27,85,99,62,73,66,2,110,13,7,59,29,101,35,57,26,58,45,48,100,49,32,107,41,74,81,19,108,95,54,37,15,68,77,9,84,61,33,20,16,64,103,76,11,17,79,112,109,47,38,104,92,42,52,53,91,80,56,70,1,34,111,5,98,10,50,39,93,65,23,21,14,43,3,102,88,44,8,75,72,97
1: 60,67,82,69,51,63,55,36,105,28,22,106,90,25,86,71,24,6,96,83,31,4,87,30,94,40,46,78,12,89,18,27,85,7,66,101,99,2,29,59,73,48,49,45,57,35,58,108,100,62,19,32,95,68,110,107,26,76,13,84,11,74,81,61,33,41,54,16,15,37,38,9,52,77,80,20,56,42,47,103,64,112,53,109,10,79,5,111,104,91,17,39,92,34,1,23,70,14,21,93,3,98,65,88,44,43,8,50,102,75,72,97
1: 60,86,28,7,67,82,63,83,55,12,36,31,69,22,29,51,66,46,6,30,89,90,108,4,20,87,26,71,59,78,11,24,40,19,2,105,100,96,68,106,57,16,110,112,85,84,48,37,32,49,103,10,25,41,39,5,38,45,76,43,99,27,54,56,107,62,94,42,61,58,13,73,91,101,104,18,15,23,21,111,14,74,109,52,79,53,33,92,34,95,70,80,9,65,93,77,81,47,17,72,3,35,64,88,98,1,44,50,102,97,75,8
1: 60,86,28,55,82,67,83,63,90,31,7,51,36,69,22,12,40,89,4,6,87,66,46,24,2,105,71,78,96,106,29,85,108,30,59,25,39,19,49,37,99,84,68,11,100,27,57,110,32,20,18,16,45,112,26,41,61,38,13,54,74,76,94,58,73,56,103,10,62,48,107,101,5,95,15,104,42,53,43,9,80,77,21,79,91,52,35,14,23,111,33,81,34,64,47,109,65,88,92,1,17,93,70,3,98,44,8,72,75,50,102,97
1: 60,55,86,82,83,67,28,63,31,69,51,22,24,6,90,106,36,7,66,96,12,78,71,89,46,4,105,40,87,85,18,59,2,29,19,27,25,30,108,84,99,110,49,73,68,54,100,11,38,37,112,57,76,101,39,16,32,58,103,26,45,94,35,61,95,62,13,20,48,80,104,56,74,107,15,10,52,42,41,9,23,111,34,53,33,77,81,79,5,17,47,65,43,14,91,21,109,64,92,1,98,88,93,70,3,44,8,102,75,50,72,97
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1: 67,60,69,51,55,36,94,106,63,82,24,71,22,96,25,40,28,31,18,105,62,90,87,110,6,86,30,4,83,13,89,99,46,85,12,73,2,78,35,59,101,27,66,54,57,26,58,74,41,19,15,107,48,45,29,49,32,95,81,7,47,103,77,108,100,92,64,9,109,37,61,68,111,91,5,33,20,11,112,38,16,53,17,79,42,84,10,76,56,104,52,1,93,23,98,65,34,70,21,39,50,43,80,3,14,88,8,44,102,75,72,97
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1: 55,67,60,106,28,69,82,63,22,83,94,51,90,36,40,31,18,24,59,96,4,110,89,13,86,66,71,19,62,85,73,6,30,99,2,25,12,7,101,87,105,46,48,15,58,112,78,74,27,38,29,103,26,49,57,95,100,45,54,107,35,41,68,91,84,37,108,65,92,79,11,32,93,9,16,104,64,111,47,42,77,109,39,98,5,34,61,17,20,53,81,10,76,43,52,23,56,33,14,44,80,1,70,8,21,3,88,102,75,50,72,97
1: 55,67,60,63,69,106,82,90,36,22,51,28,94,18,96,83,31,40,4,13,24,6,99,19,86,89,62,71,85,30,25,59,2,87,66,12,105,110,58,73,15,101,78,7,48,27,46,57,45,107,74,95,54,29,112,26,49,41,100,79,32,103,108,92,35,77,38,68,84,37,64,111,81,91,47,5,9,11,61,93,65,20,104,42,16,34,17,109,39,98,1,53,33,70,52,76,56,80,10,43,23,14,44,21,8,88,3,50,102,75,72,97
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1: 67,55,69,106,82,63,60,36,90,18,83,94,51,25,40,28,4,22,31,71,13,24,96,6,62,12,30,99,86,89,66,87,105,2,110,46,59,85,73,15,58,101,19,27,78,57,107,74,45,41,7,54,95,100,29,49,26,48,81,108,47,35,64,92,32,68,37,91,103,77,112,9,109,11,38,84,5,61,111,33,104,53,93,79,42,17,16,56,1,10,20,34,65,52,76,80,43,23,70,98,21,39,14,3,44,50,8,88,102,75,72,97
1: 55,67,69,82,106,60,36,18,51,94,63,28,40,90,71,25,83,31,24,96,4,22,62,86,99,6,30,105,2,87,89,46,13,110,12,59,66,78,101,85,57,27,73,74,41,45,19,58,15,49,54,29,107,32,95,35,7,48,26,103,47,81,100,77,108,92,64,37,9,33,109,68,61,5,112,91,111,20,38,11,84,16,79,53,10,42,104,76,93,56,17,1,52,98,23,34,65,70,21,50,43,80,39,14,3,8,88,44,102,75,97,72
1: 55,67,69,82,60,36,106,94,51,63,28,31,24,96,18,90,4,71,83,22,25,40,62,30,99,6,105,86,46,110,13,78,59,12,2,89,87,66,101,85,57,73,74,27,35,41,19,45,49,15,54,29,107,58,32,26,48,95,7,103,47,81,100,77,64,108,92,33,9,37,109,68,61,112,5,91,111,20,38,16,11,84,79,42,53,104,10,76,56,93,1,17,52,98,34,23,65,70,21,50,43,39,80,14,8,3,88,44,102,75,72,97
1: 67,69,55,106,60,36,82,94,51,63,31,28,24,71,18,96,90,4,83,22,25,30,62,40,87,99,6,110,105,86,46,13,12,2,59,89,78,101,66,85,73,74,57,27,35,41,19,45,49,54,29,107,58,15,32,26,48,95,7,103,81,47,100,77,92,108,64,9,37,109,33,68,61,5,91,112,111,20,38,11,16,84,17,79,42,53,10,104,76,56,1,52,93,98,23,34,65,70,21,50,39,43,80,14,3,8,88,44,102,75,72,97
1: 67,60,69,63,82,105,51,25,106,96,28,86,36,55,6,94,22,24,90,31,30,87,71,46,4,27,89,83,18,40,101,35,78,49,29,12,45,48,7,73,59,58,100,99,110,76,107,66,33,2,62,85,26,32,19,57,42,74,81,95,80,41,68,37,13,56,112,64,108,54,61,84,9,47,52,16,11,79,77,53,17,15,109,38,39,70,103,1,34,93,3,92,50,20,104,23,21,98,111,91,10,65,102,44,5,88,14,75,72,8,43,97
1: 69,28,25,82,60,63,55,35,73,7,101,45,59,11,22,30,67,40,105,4,106,100,83,76,89,27,36,6,18,31,58,90,24,110,52,66,112,62,29,46,19,87,2,80,94,51,50,78,93,99,12,48,85,103,96,42,61,32,86,39,33,1,14,13,71,37,95,107,38,64,81,9,15,57,16,68,70,49,84,21,109,74,75,108,47,53,56,3,41,10,5,102,104,79,26,91,88,17,98,34,20,72,54,23,77,97,92,44,43,65,111,8
1: 69,28,25,82,60,63,55,35,73,7,101,45,59,11,22,4,30,67,40,106,100,83,105,76,89,27,36,6,18,31,58,90,24,110,52,66,112,62,29,46,19,87,2,80,94,51,50,78,93,99,12,48,85,103,96,42,61,32,86,39,33,1,14,13,71,37,95,107,38,64,81,9,15,57,16,68,70,49,84,21,109,74,75,108,47,53,56,3,41,10,5,102,104,79,26,91,88,17,98,34,20,72,54,23,77,97,92,44,43,65,111,8
1: 69,28,82,60,63,25,55,22,7,45,35,83,59,89,40,11,18,4,30,67,73,106,31,101,105,76,62,58,6,36,52,100,78,66,94,29,46,85,110,87,27,112,90,12,80,86,51,24,2,19,93,71,99,37,50,32,96,61,49,39,48,14,107,13,81,15,38,103,42,57,68,109,9,33,1,84,70,53,74,21,75,108,16,95,104,47,64,10,79,56,26,3,5,102,91,88,41,23,17,72,34,20,54,98,77,92,43,97,44,8,65,111
1: 28,82,60,69,63,55,22,7,25,30,35,59,89,40,4,67,106,101,45,73,83,31,100,76,27,11,87,6,18,105,36,2,51,66,94,58,78,46,85,110,62,71,99,90,12,80,86,112,24,52,19,37,29,38,61,96,57,93,49,32,39,81,107,42,48,14,13,50,16,103,15,108,68,70,9,33,84,53,64,74,21,95,56,26,1,109,10,75,79,104,34,20,17,5,47,88,23,91,3,54,72,41,102,98,77,43,97,92,44,8,65,111
1: 82,28,69,60,63,7,25,30,55,22,67,106,59,89,4,36,83,105,40,35,31,45,100,76,27,46,73,6,18,101,51,87,58,66,94,71,90,86,62,2,29,99,11,80,24,12,52,37,19,78,112,85,110,48,57,61,16,39,49,33,96,15,13,38,93,32,81,42,107,84,103,108,68,95,17,64,14,74,9,21,50,79,56,26,70,109,1,10,41,34,20,5,88,54,53,104,23,91,75,72,3,98,47,77,102,97,43,92,65,44,111,8
1: 28,82,69,60,63,7,25,30,55,22,83,67,106,36,4,51,40,105,31,45,90,89,59,100,27,18,101,46,6,73,24,94,86,87,78,66,76,62,58,35,2,29,19,11,96,71,12,42,48,57,108,16,112,13,99,84,85,110,52,80,61,32,49,39,15,37,38,93,33,103,107,68,41,64,26,95,81,9,74,21,23,79,56,104,70,109,1,10,88,20,17,91,14,54,53,5,50,98,43,3,34,77,92,47,102,65,75,72,111,97,44,8
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1: 60,82,69,28,55,63,67,25,24,7,106,83,22,105,4,59,51,18,30,94,31,71,89,78,6,96,86,36,40,27,29,101,90,87,35,46,66,45,100,19,2,76,73,58,99,11,12,110,62,108,84,85,39,80,13,57,95,49,42,48,112,37,103,61,16,68,52,26,15,32,38,9,33,107,41,74,79,54,56,93,17,64,81,23,53,104,77,98,34,21,1,70,47,109,10,14,88,65,3,20,92,111,50,5,102,91,43,75,72,44,97,8
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1: 69,82,60,63,28,67,55,25,105,51,36,27,6,106,4,24,31,90,101,83,96,86,87,18,30,94,46,71,78,22,99,40,7,89,35,66,59,45,12,2,29,49,73,48,100,76,85,95,62,33,107,57,19,58,32,41,110,81,74,42,37,68,80,56,26,13,84,61,108,64,112,9,77,79,11,16,52,47,17,53,38,109,39,15,103,54,70,93,34,1,50,92,3,20,23,104,98,21,10,91,111,102,65,88,5,44,75,14,43,8,97,72
1: 69,82,60,63,67,55,28,105,51,90,36,25,6,4,30,22,106,94,24,31,101,96,78,83,86,46,27,71,18,99,89,40,35,66,59,45,12,87,2,29,49,73,7,48,100,76,85,62,33,107,57,19,32,41,110,58,95,81,74,42,37,68,80,56,26,13,84,61,108,64,112,9,77,79,11,16,52,47,17,53,38,109,15,103,54,70,39,93,34,1,50,92,3,20,23,104,98,21,10,91,111,102,65,88,5,44,75,14,72,43,8,97
1: 69,82,60,63,67,28,105,106,51,90,55,36,25,6,4,30,22,94,24,31,101,96,78,83,86,46,27,71,18,99,89,40,87,35,66,59,45,12,2,29,49,73,7,48,100,76,85,62,33,107,57,19,32,41,110,58,95,81,74,42,37,68,80,56,26,13,84,61,108,64,112,9,77,79,11,16,52,47,17,53,38,109,15,103,54,70,39,93,34,1,50,92,3,20,23,104,98,21,10,91,111,102,65,88,5,44,75,14,72,43,8,97
1: 67,60,69,63,51,71,24,36,105,25,22,96,82,106,55,87,30,94,86,6,40,28,46,31,13,73,62,18,35,90,27,4,89,26,74,110,83,57,99,85,101,81,107,12,2,29,9,61,78,59,77,15,48,45,66,95,54,41,32,109,100,58,49,20,108,64,7,33,92,47,68,37,19,5,17,103,76,10,91,11,42,111,79,16,56,104,38,52,53,84,1,34,50,93,98,21,112,65,39,80,70,3,23,88,8,44,14,102,43,75,72,97
1: 60,67,69,82,63,106,51,25,105,36,22,96,55,28,6,24,71,94,30,86,31,90,87,46,40,89,78,27,83,12,4,29,18,99,66,101,32,35,73,26,48,85,13,59,62,58,7,2,45,100,81,57,49,95,74,110,107,68,33,41,19,84,20,16,9,54,108,64,61,76,79,42,11,37,112,103,77,17,53,92,56,15,52,38,80,91,109,47,34,104,98,70,1,50,21,93,65,39,3,102,14,10,111,5,23,8,88,43,44,75,72,97
1: 28,69,55,25,67,63,35,112,82,59,40,60,45,100,73,4,7,58,83,36,76,106,22,101,31,24,30,78,27,2,33,11,110,105,80,18,6,85,12,94,89,62,19,90,66,99,52,93,71,42,29,51,14,95,47,46,61,50,81,107,15,74,49,13,86,103,109,1,9,39,87,38,57,96,21,5,75,48,37,104,56,64,32,68,70,88,72,3,34,79,102,84,108,20,17,91,77,16,10,97,98,54,53,23,41,26,111,44,92,65,43,8
1: 28,69,55,25,67,63,35,112,82,40,59,60,45,73,100,4,7,58,106,83,36,76,101,22,31,24,30,78,33,2,11,110,80,27,18,105,6,85,12,94,89,62,19,90,66,99,52,93,71,95,42,29,14,51,47,46,61,50,81,107,74,15,49,13,86,103,109,1,9,39,87,38,57,96,21,5,75,48,37,104,56,64,32,68,70,88,72,3,34,79,84,102,108,20,17,91,77,16,10,97,98,54,53,23,41,26,111,44,92,65,43,8
1: 28,69,55,59,82,40,67,63,31,18,60,83,22,4,62,45,89,7,78,35,36,112,25,58,106,30,85,71,76,11,94,6,80,100,12,2,66,105,73,110,52,86,49,51,101,37,104,99,93,29,81,87,90,107,19,109,15,14,61,27,13,24,46,39,47,33,9,32,96,57,95,5,74,50,42,1,75,70,54,38,103,56,21,79,68,72,20,3,26,53,84,48,91,10,17,64,108,34,102,23,77,97,88,98,41,16,111,92,44,43,65,8
1: 82,55,60,28,31,67,63,40,4,86,22,89,83,2,59,51,71,7,30,85,100,69,66,78,36,62,99,12,94,112,35,87,57,6,49,105,106,73,38,37,110,58,32,27,61,81,80,107,20,101,45,54,18,46,90,26,76,109,14,42,25,39,96,16,24,74,19,56,13,104,29,5,9,93,103,108,11,15,52,34,17,48,53,21,84,70,23,91,1,33,95,72,50,10,47,88,68,64,79,75,3,98,77,97,43,41,111,102,92,44,8,65
1: 60,86,4,82,83,28,67,55,7,89,51,63,71,22,31,30,66,69,59,40,105,36,49,12,87,2,20,99,6,106,85,112,37,100,110,73,57,94,61,84,46,29,107,62,38,19,27,76,32,90,26,103,54,39,24,16,78,52,45,108,74,58,48,18,96,34,80,13,15,42,25,91,17,101,81,104,35,109,95,56,33,11,23,41,72,10,79,68,5,93,21,9,14,64,43,50,53,3,70,47,98,1,111,65,77,88,92,97,102,75,8,44
1: 60,82,28,86,67,7,83,63,55,30,69,22,51,46,31,36,89,4,6,71,12,2,19,66,87,90,20,26,40,59,32,106,84,29,100,57,45,96,112,49,73,94,105,39,99,16,25,108,48,38,78,41,24,42,18,85,37,91,103,27,62,107,54,110,11,13,68,101,76,58,43,74,61,79,15,104,56,64,52,109,10,23,95,65,34,14,21,33,81,5,93,9,111,92,35,80,98,17,53,72,77,47,70,3,88,50,102,1,97,75,8,44
1: 60,82,28,86,83,55,67,22,69,63,36,2,7,90,40,89,6,51,46,30,4,31,87,66,19,71,96,12,84,106,32,39,105,29,24,59,26,100,85,25,74,13,18,99,94,20,73,45,108,49,41,27,112,78,16,37,61,110,57,95,11,68,48,107,54,101,103,58,62,38,79,64,77,43,91,15,104,56,65,34,10,42,21,9,35,33,53,80,14,76,23,81,52,109,98,111,92,93,17,47,5,1,70,3,88,72,50,102,8,75,97,44
1: 60,82,55,86,83,67,28,106,69,22,96,6,24,63,89,51,36,31,66,90,19,46,71,7,40,2,30,87,4,105,18,84,73,94,32,12,26,25,78,29,27,59,101,85,112,16,37,74,110,99,103,13,100,68,54,49,108,35,95,62,11,45,38,20,39,41,61,58,48,57,76,104,34,107,65,77,33,98,15,80,42,9,17,10,64,53,81,52,79,43,91,56,14,111,109,21,92,23,93,47,1,70,3,5,88,72,102,8,50,75,44,97
1: 60,82,55,83,28,67,106,69,22,6,96,24,36,63,51,46,89,90,31,71,30,86,66,4,12,2,59,19,105,87,40,18,94,101,73,7,85,78,29,84,27,25,32,16,95,108,99,110,74,26,38,100,112,103,68,49,45,41,58,37,54,48,11,62,57,13,34,9,107,15,35,20,81,98,104,61,80,42,65,33,77,76,17,92,52,39,53,109,91,64,14,79,10,56,21,3,93,23,43,47,102,70,111,1,5,8,72,44,88,75,50,97
1: 60,82,55,28,69,106,83,67,22,51,63,36,6,96,71,24,40,31,87,101,4,86,90,94,7,46,105,66,30,12,19,73,89,85,59,29,2,18,68,84,25,78,27,100,48,32,99,110,16,74,49,38,62,95,13,112,108,26,45,58,57,35,103,41,61,107,15,79,11,64,17,20,9,76,37,34,65,81,42,93,98,77,52,104,33,92,39,54,91,109,14,53,80,10,56,23,3,102,70,1,47,111,43,21,5,44,8,72,75,88,50,97
1: 82,60,67,55,69,36,106,63,22,28,96,51,83,71,6,86,87,94,90,24,31,4,105,40,18,30,66,46,12,101,7,85,89,19,99,29,59,25,2,84,100,78,13,58,27,68,73,45,49,32,48,107,62,95,74,57,108,16,41,79,61,64,81,35,77,15,110,26,33,112,9,11,38,17,103,20,54,37,76,93,34,92,39,42,80,104,52,98,1,109,53,91,70,65,14,47,102,56,111,21,5,23,10,3,43,44,8,72,88,75,50,97
1: 82,69,67,106,55,60,36,63,28,96,51,6,83,71,90,86,87,4,105,22,24,18,40,46,94,25,31,99,66,12,27,30,101,29,59,100,45,89,13,7,2,85,78,84,19,95,48,68,62,49,58,57,74,73,107,32,41,110,77,81,9,16,64,79,35,112,15,61,26,33,11,17,38,54,103,37,108,92,20,76,104,53,80,34,42,109,91,98,1,52,70,93,39,3,14,10,5,102,65,56,47,21,111,23,43,44,8,50,75,88,72,97
1: 82,69,67,106,60,55,28,36,63,6,83,90,71,96,22,4,25,87,40,66,86,105,18,51,94,24,46,12,30,31,89,13,27,78,101,59,29,99,7,45,100,2,73,19,32,85,74,95,107,62,57,41,49,68,58,81,84,110,48,35,64,26,61,16,33,9,37,108,112,15,11,17,54,92,79,76,77,42,103,53,80,20,91,109,56,38,47,34,104,93,52,1,70,39,98,21,65,3,14,10,111,5,43,102,23,50,44,75,8,88,72,97
1: 82,69,55,67,106,60,28,36,6,63,51,4,25,87,86,105,96,90,83,94,24,71,46,22,18,31,30,40,78,101,66,99,27,29,89,12,59,32,7,2,49,45,85,73,57,100,41,74,13,95,62,48,81,107,33,58,35,19,26,84,68,16,64,9,20,61,110,112,37,79,108,54,103,76,17,92,42,11,77,53,34,56,104,15,80,109,91,47,52,38,70,98,93,39,21,1,50,3,65,14,10,5,111,102,23,8,43,44,88,75,72,97
1: 82,69,55,67,60,106,28,36,6,63,96,51,90,4,31,94,30,25,105,24,22,83,46,71,86,78,66,101,18,89,29,40,99,12,87,27,59,32,49,45,7,2,73,35,85,57,74,41,62,100,13,48,33,81,107,95,19,84,26,68,58,16,64,9,20,61,110,112,79,108,76,54,37,103,17,42,11,77,92,34,53,56,38,104,80,15,109,47,52,91,70,98,93,1,21,50,39,65,3,14,10,5,111,102,23,8,43,44,88,75,72,97
1: 69,82,67,106,60,55,28,63,36,96,6,30,51,90,31,94,25,4,24,105,22,46,87,86,71,83,78,66,101,18,29,89,40,99,12,27,32,59,7,2,49,45,35,73,85,57,41,62,100,74,13,48,81,95,107,33,84,26,19,68,58,16,64,9,20,61,110,79,108,112,37,76,103,54,42,17,11,77,92,56,53,34,38,80,104,15,109,52,47,91,70,98,1,93,21,50,39,3,65,14,10,5,111,102,23,8,43,44,88,75,72,97
1: 60,69,67,82,55,51,28,71,63,106,36,31,30,22,4,96,90,6,86,87,18,46,105,25,40,94,24,89,78,83,66,73,29,101,27,7,35,62,2,99,32,95,61,48,13,57,45,58,107,81,110,108,37,74,26,85,9,49,12,100,19,59,103,68,64,112,54,20,76,17,15,41,109,56,11,79,111,52,77,104,47,33,91,5,84,21,70,38,10,39,93,42,34,65,23,98,53,3,16,14,88,80,92,43,44,1,75,50,102,72,8,97
1: 82,60,69,55,67,28,71,36,106,63,51,4,31,90,18,30,83,22,96,87,6,94,86,25,40,66,78,62,46,7,89,24,101,73,2,105,95,107,13,57,110,29,85,45,61,27,99,58,108,12,74,32,64,37,19,54,103,59,35,100,81,15,9,26,49,41,68,48,47,17,11,109,111,76,79,91,112,39,104,21,77,56,20,65,93,23,5,14,10,70,34,38,53,42,3,84,33,52,88,43,16,92,98,80,1,44,75,72,102,50,8,97
1: 82,60,69,55,67,28,106,36,71,51,63,18,4,31,30,90,96,6,87,22,86,83,40,105,94,66,46,78,25,89,24,101,2,73,29,27,7,95,62,99,57,45,61,107,32,85,13,59,110,74,58,35,49,48,19,81,12,103,9,37,108,26,64,100,68,41,54,15,20,76,109,17,47,112,111,79,91,56,11,104,77,5,21,33,52,39,10,70,84,93,23,34,14,38,65,98,16,42,3,53,88,80,92,43,1,44,75,50,72,102,8,97
1: 82,55,60,69,67,28,36,106,4,30,51,71,31,63,90,96,18,22,6,83,86,46,105,78,66,94,25,40,87,89,24,101,29,73,99,2,27,7,62,57,35,45,32,61,95,59,107,49,13,74,19,48,85,12,81,58,37,108,9,103,100,26,68,110,64,41,20,54,76,15,17,109,112,79,56,11,33,104,111,47,77,91,52,21,5,84,70,10,38,93,34,65,16,39,98,14,42,23,53,3,88,80,92,43,44,1,75,50,102,72,8,97
1: 82,69,60,67,55,28,106,36,30,51,71,31,4,63,90,18,96,22,6,83,86,46,94,87,105,25,40,78,66,24,89,101,73,29,99,2,62,27,35,57,7,32,95,45,61,13,107,59,74,85,12,48,49,110,19,58,81,103,37,26,9,108,41,64,100,68,54,20,15,76,17,109,111,112,47,79,56,77,91,104,11,5,33,52,21,10,70,84,38,93,34,23,65,98,14,39,42,16,53,3,88,92,80,43,44,1,75,50,102,72,8,97
1: 67,94,69,60,51,71,55,36,110,106,82,24,25,63,62,22,96,40,31,30,28,86,87,90,18,105,54,13,85,6,89,83,57,46,4,73,78,15,99,12,101,2,107,35,74,66,58,41,26,59,27,47,29,77,64,103,95,48,7,111,45,109,19,49,81,32,91,92,61,9,100,5,108,37,20,68,38,23,104,10,17,11,33,112,16,79,42,53,65,56,76,98,84,93,34,21,1,52,43,88,14,70,50,44,39,8,3,80,75,102,97,72
1: 67,69,94,55,106,60,82,71,51,36,110,62,24,63,31,25,30,28,90,18,96,22,40,83,87,86,57,4,13,46,85,105,54,78,99,15,6,73,12,101,2,89,59,74,66,41,107,35,47,27,58,26,29,103,64,77,95,7,45,19,49,111,48,109,32,81,91,61,92,100,9,5,37,108,20,68,38,104,23,17,10,33,112,11,16,79,42,56,53,76,84,65,98,34,93,21,43,52,1,88,14,70,50,44,39,8,3,80,75,102,97,72
1: 67,60,63,69,82,106,105,51,87,25,36,55,28,22,96,86,24,31,40,30,6,94,71,90,46,27,18,89,78,12,4,99,101,83,45,58,49,59,7,62,35,2,29,48,57,85,100,95,32,26,110,107,66,73,33,81,76,19,74,41,61,13,37,42,47,64,54,80,56,108,9,68,52,20,77,103,11,112,84,17,79,15,16,109,53,92,34,104,38,70,39,1,3,50,21,111,91,93,23,98,10,65,88,102,44,75,14,5,43,8,72,97
1: 60,69,63,28,25,82,45,55,7,67,46,35,22,73,106,31,51,40,59,30,18,27,101,36,4,100,24,96,89,83,87,6,11,29,105,76,86,58,99,57,110,107,12,90,78,94,112,52,66,103,95,2,80,42,62,33,15,85,37,13,19,50,32,81,39,14,71,74,21,64,1,61,9,70,48,68,109,38,108,47,84,56,79,49,75,41,53,3,102,5,93,34,26,104,16,91,72,97,10,17,20,92,23,77,111,88,98,54,43,44,8,65
1: 60,69,28,63,25,82,45,55,7,67,46,35,73,22,106,31,51,40,59,30,18,101,27,36,4,100,24,96,89,83,87,6,11,29,76,86,105,58,99,57,110,107,12,90,78,94,112,52,66,103,2,80,42,95,62,33,15,85,37,13,19,50,32,81,39,14,71,74,21,64,1,61,9,70,48,68,109,38,108,47,84,56,79,49,75,41,53,3,102,5,93,34,26,104,16,91,72,97,10,17,20,92,23,77,111,88,98,54,43,44,8,65
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1: 60,82,28,63,55,7,67,22,59,69,46,30,106,40,31,51,27,86,89,25,87,35,4,18,36,100,45,57,83,101,73,6,85,99,2,12,78,96,94,66,107,37,71,105,62,24,76,110,90,58,112,80,11,103,38,29,13,81,32,52,15,19,39,61,14,42,95,49,21,48,9,74,108,33,50,70,68,56,109,64,84,53,26,20,1,16,47,79,5,93,104,34,41,91,23,75,17,10,3,88,72,102,54,111,92,43,97,77,98,44,8,65
1: 60,82,28,63,7,67,55,69,30,59,22,106,46,51,86,40,31,25,27,89,83,36,4,18,57,100,87,6,45,73,105,99,101,35,94,71,37,76,12,66,110,29,90,85,58,96,62,24,107,2,52,78,13,103,15,112,80,95,19,39,11,33,61,48,38,32,42,68,108,21,49,84,81,74,56,16,41,9,109,64,14,70,26,20,79,17,50,1,5,93,47,34,91,23,72,54,10,53,3,104,111,88,75,102,92,43,98,97,77,65,44,8
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1: 82,69,67,60,55,63,106,90,28,31,6,51,36,30,94,4,96,24,22,86,105,83,71,46,87,2,25,18,66,101,78,40,7,12,29,27,99,89,85,35,59,73,57,45,62,49,32,41,48,100,107,68,74,26,42,37,81,13,84,19,76,20,58,61,77,110,16,108,9,95,33,56,38,64,79,17,15,103,80,92,11,112,104,52,53,109,47,54,39,70,3,34,93,1,98,91,65,23,50,111,21,102,14,10,44,5,88,8,43,75,72,97
1: 67,60,69,82,51,55,106,63,36,71,94,24,28,22,25,96,110,105,6,62,87,30,31,86,40,90,18,4,83,13,46,89,101,99,73,85,27,12,59,15,2,57,66,78,35,74,107,26,41,7,77,48,54,29,58,45,49,95,81,109,19,100,32,9,61,108,37,47,64,103,17,111,42,20,33,11,92,79,16,68,84,112,104,23,38,91,76,56,34,52,88,44,5,65,70,1,80,93,53,98,39,3,50,21,14,10,75,102,8,43,97,72
1: 60,67,20,4,86,82,12,28,69,83,110,105,71,36,63,40,49,7,59,26,89,29,100,42,62,24,30,46,87,112,39,55,37,19,13,6,108,84,11,61,73,57,99,107,38,31,34,51,74,2,66,96,106,15,16,54,27,72,25,32,80,22,76,85,90,43,48,91,41,94,21,10,79,17,78,103,104,18,101,23,81,95,33,70,58,109,52,9,3,56,68,102,45,92,35,77,14,98,50,53,47,65,64,88,97,75,93,44,5,8,1,111
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1: 60,55,82,67,28,69,106,83,24,22,51,71,89,63,90,36,4,86,6,96,66,30,94,12,46,110,2,40,31,105,27,99,18,59,101,73,13,25,7,87,62,85,19,108,37,29,78,15,26,95,32,84,103,16,38,74,100,45,49,112,107,9,48,11,41,61,80,58,35,54,39,109,34,57,42,104,77,76,65,79,23,93,56,20,68,47,3,92,52,98,81,33,17,88,44,53,91,64,70,111,21,14,10,5,102,1,72,75,8,43,50,97
1: 60,55,82,67,69,28,22,106,51,83,71,63,24,90,94,4,86,36,40,6,31,101,7,96,110,87,30,59,89,18,105,73,12,66,85,46,2,13,99,25,62,27,15,19,29,74,100,108,78,26,48,37,107,49,35,45,61,84,58,38,95,16,57,11,41,112,9,103,39,32,68,42,109,79,77,93,104,80,54,64,65,20,23,17,76,44,52,47,34,56,81,111,92,3,91,33,88,98,70,14,102,53,10,5,21,1,75,72,8,43,50,97
1: 60,82,67,55,69,63,22,28,51,106,71,36,83,96,4,86,24,6,90,94,87,31,18,30,105,99,89,85,40,13,7,101,46,25,66,59,2,62,73,12,15,27,19,100,29,110,58,108,107,48,74,78,26,61,57,45,37,77,49,95,35,41,9,84,79,16,39,32,11,38,64,81,109,112,54,42,103,68,111,93,17,47,92,80,104,44,20,23,65,33,34,76,56,52,70,91,88,3,5,98,14,1,102,21,53,75,10,8,72,50,43,97
1: 82,69,60,67,55,63,51,28,106,90,36,71,83,6,22,86,4,24,94,96,13,18,87,99,31,105,25,46,62,40,30,12,101,27,2,59,66,7,89,85,73,15,110,100,107,57,74,29,77,45,19,48,58,95,78,9,37,49,41,35,108,26,109,61,84,81,11,64,79,112,16,68,38,54,17,32,42,103,33,104,39,92,47,80,111,34,93,44,76,70,23,91,52,20,65,56,3,5,1,53,14,88,98,102,10,21,75,50,72,8,43,97
1: 82,69,67,60,55,106,63,28,71,83,51,36,90,22,6,25,4,87,94,86,18,13,30,24,31,105,96,62,46,40,12,101,99,66,89,27,2,7,73,59,15,85,107,110,74,100,57,78,29,19,41,45,77,95,61,37,58,108,48,49,35,26,109,9,81,64,54,17,11,84,32,47,68,42,33,16,103,112,92,79,104,80,111,38,34,56,76,39,23,91,93,20,44,70,65,52,3,53,1,14,5,21,88,98,102,10,75,50,72,8,43,97
1: 82,69,67,60,55,106,51,28,63,71,36,86,94,6,87,22,18,25,90,83,30,4,105,31,24,62,46,101,96,40,99,27,89,2,13,85,73,66,110,12,59,7,57,78,107,74,15,29,41,49,100,45,35,48,77,26,61,95,58,19,37,81,109,9,32,108,54,64,47,17,103,33,20,42,84,79,16,11,111,68,23,76,104,112,92,56,34,38,91,39,52,80,70,44,88,93,65,3,21,98,14,1,5,53,50,10,75,102,72,8,43,97
1: 82,69,67,60,55,51,28,106,63,71,36,30,94,22,90,4,6,31,24,83,25,96,86,105,62,46,18,101,87,110,99,40,85,89,13,73,27,78,66,12,59,2,57,74,107,15,7,29,35,41,49,48,45,77,100,26,61,95,81,19,109,37,9,32,108,58,54,64,47,17,20,33,103,42,79,11,84,16,111,68,104,23,112,76,56,92,34,38,91,52,80,70,44,39,88,93,65,3,1,98,21,14,53,5,50,10,75,102,72,8,97,43
1: 69,67,82,60,55,106,51,71,36,63,28,94,30,31,24,22,90,4,96,25,6,83,62,87,110,86,105,18,46,101,99,40,13,89,85,73,12,66,2,78,59,27,57,74,15,107,35,41,7,29,77,45,49,48,26,100,19,95,109,81,61,32,9,58,37,108,54,64,47,103,17,42,33,20,111,11,79,92,84,16,68,112,104,23,38,56,76,34,91,52,44,88,70,80,93,39,1,65,98,5,3,53,21,50,14,10,75,102,8,72,97,43
1: 67,69,60,63,106,24,51,82,55,40,25,31,36,6,28,22,86,18,94,90,71,30,96,87,12,105,4,89,83,46,78,99,35,2,110,13,59,7,29,45,27,66,101,48,58,62,85,100,73,19,57,26,42,32,108,38,76,49,16,81,37,74,15,41,95,33,84,1,9,107,54,77,56,17,68,11,92,103,79,112,20,61,80,109,53,64,70,104,47,93,52,111,39,50,3,98,34,5,10,23,91,43,44,21,65,14,102,88,8,75,72,97
1: 69,67,55,106,63,60,82,24,31,90,4,28,36,6,83,30,18,51,40,86,94,12,78,2,71,25,96,22,99,87,59,46,35,89,105,45,66,7,101,110,13,29,19,100,57,27,49,62,85,58,42,48,32,73,38,76,74,33,37,16,108,95,84,41,81,107,15,26,1,56,17,68,9,77,112,103,92,79,11,61,80,20,54,104,64,70,109,93,53,47,52,39,111,50,34,98,3,10,5,91,23,21,43,65,44,14,8,102,88,75,72,97
1: 67,60,69,82,63,51,106,28,25,36,55,22,6,30,96,105,86,90,71,40,24,87,4,18,31,46,83,89,12,94,27,78,66,99,7,29,59,2,73,48,101,45,13,49,32,58,26,100,57,35,62,19,85,108,74,81,37,110,84,41,68,33,16,107,9,20,95,11,61,54,112,92,76,64,103,79,17,42,52,38,53,56,77,15,104,39,70,80,34,1,109,91,93,47,98,50,65,111,21,3,10,5,23,102,14,43,8,88,44,72,75,97
1: 60,86,28,67,22,63,30,90,69,89,6,40,4,51,31,46,36,7,106,66,55,87,83,82,12,32,39,19,2,105,71,18,26,29,59,13,84,25,85,100,99,20,96,49,24,74,108,73,45,68,37,27,94,61,95,57,16,41,101,112,110,11,77,107,78,48,62,103,56,54,58,38,79,104,10,64,91,92,33,15,43,42,76,23,35,98,65,34,53,17,52,111,21,81,9,14,109,80,93,50,3,1,8,47,70,102,5,72,88,75,97,44
1: 60,82,86,67,28,69,55,63,106,89,51,6,22,66,83,31,40,96,90,24,4,87,30,2,7,19,71,36,46,18,26,105,84,12,73,32,37,25,29,27,59,13,101,94,16,49,85,99,78,62,103,68,110,112,108,39,74,61,45,35,20,11,95,100,57,54,41,38,48,76,92,104,107,33,77,58,17,65,34,42,64,15,79,10,98,91,53,52,56,43,81,111,80,109,9,23,14,21,50,93,47,70,3,8,102,5,1,72,88,75,97,44
1: 60,82,67,28,55,106,63,69,22,51,89,6,83,90,66,30,96,24,36,4,86,40,2,12,31,18,7,59,71,105,46,87,19,94,101,84,73,25,27,32,99,85,29,37,13,108,78,26,110,16,49,95,62,45,68,57,112,103,41,48,74,100,107,38,11,58,35,54,92,15,39,61,20,34,9,33,77,104,65,81,98,17,91,79,76,80,42,52,53,109,10,64,56,23,3,47,14,43,70,21,93,8,111,5,50,102,1,72,88,44,75,97
1: 60,82,67,28,106,69,55,63,22,51,83,6,40,36,90,31,4,96,86,66,24,30,89,7,87,12,2,105,94,59,18,71,101,19,46,29,25,73,84,68,99,85,13,27,62,48,100,78,49,110,108,32,45,16,95,37,26,74,57,38,112,58,35,41,103,11,61,107,79,15,39,92,20,17,33,9,54,64,77,65,81,42,76,104,52,91,34,93,98,109,10,53,56,70,80,23,3,111,47,14,43,1,8,5,21,50,102,44,72,88,75,97
1: 60,82,67,63,69,55,106,28,51,22,36,96,6,86,90,4,83,40,87,18,30,105,31,66,89,24,12,94,59,99,7,19,25,71,2,46,101,29,13,85,27,62,84,73,68,48,58,45,100,49,78,108,32,74,57,37,26,110,107,95,16,41,35,79,112,11,15,61,77,103,33,81,92,39,38,17,20,9,54,64,76,42,52,104,93,70,109,91,34,98,53,65,80,1,56,111,47,5,23,10,3,21,14,43,50,102,8,44,88,72,75,97
1: 82,67,69,63,106,60,28,55,51,36,90,83,6,96,4,86,87,18,22,40,25,105,99,12,31,24,66,30,59,46,71,94,7,27,89,2,13,101,45,29,19,100,62,85,57,49,78,58,48,73,84,68,110,32,74,37,95,108,107,41,112,35,26,11,81,16,77,79,9,33,15,103,61,38,92,54,17,64,20,53,52,42,104,76,39,70,109,91,80,93,98,34,1,56,65,111,3,47,5,10,21,23,14,43,50,102,8,44,88,72,75,97
1: 82,67,69,106,63,60,55,28,36,90,83,6,51,4,25,96,18,40,22,87,86,66,30,71,105,12,31,89,59,46,24,27,99,7,94,13,29,2,101,78,19,45,73,57,100,49,62,32,58,74,68,85,84,108,48,107,41,37,26,95,110,33,81,35,11,16,61,112,9,15,92,64,54,79,103,17,53,77,20,42,38,76,104,52,56,39,80,91,70,34,93,109,1,47,65,98,21,111,3,50,14,10,5,43,23,102,8,44,72,88,75,97
1: 82,69,67,106,60,55,63,28,36,51,6,4,83,25,90,96,18,86,87,105,22,30,40,71,46,66,31,89,12,27,24,59,99,94,78,29,7,101,2,49,45,32,57,73,19,48,13,100,74,85,58,62,84,26,68,41,33,108,107,16,37,35,81,95,61,9,20,110,11,112,92,103,64,54,79,17,76,53,42,52,38,15,104,77,56,39,70,34,91,93,98,1,109,80,47,50,65,21,111,3,10,5,14,23,102,43,8,88,44,72,75,97
1: 82,67,69,60,55,106,28,63,51,36,6,96,4,90,83,25,22,30,18,105,31,71,86,24,66,89,40,46,12,59,94,99,78,29,27,87,101,7,45,49,2,32,19,57,73,48,13,74,100,62,85,35,84,33,68,26,58,41,108,16,107,81,37,61,95,9,20,110,112,11,64,103,79,54,76,92,42,17,38,53,52,104,56,15,77,34,70,39,91,93,98,109,80,47,1,50,65,21,111,3,10,5,14,23,102,43,8,88,44,72,75,97
1: 82,67,69,60,106,63,28,55,51,36,6,96,90,4,25,30,83,22,18,86,105,71,31,87,24,40,46,66,89,12,78,94,99,59,29,27,101,7,2,45,49,32,57,73,19,48,13,100,74,62,85,35,58,84,26,41,68,33,108,107,16,37,81,110,61,95,9,20,11,112,103,92,64,79,76,54,17,42,38,52,53,56,77,104,15,39,70,34,91,80,109,98,93,47,1,50,65,111,21,3,10,5,14,23,102,43,8,88,44,72,75,97
1: 67,60,69,36,63,51,55,94,25,106,24,82,40,90,22,71,31,96,30,87,86,105,18,6,28,110,89,83,46,78,62,12,58,2,4,57,99,101,35,27,59,26,74,73,13,66,85,54,41,15,45,47,29,49,95,48,107,81,103,61,111,109,19,108,76,100,37,64,9,92,32,7,52,77,33,79,11,38,68,20,104,84,42,39,17,88,21,65,53,43,70,34,56,112,98,3,91,50,1,16,93,14,5,80,10,23,44,8,75,102,97,72
1: 69,28,60,63,45,25,82,7,46,55,67,106,35,22,31,18,51,30,73,4,101,40,89,107,59,36,78,27,57,83,24,15,94,6,96,100,42,29,86,12,58,87,105,110,103,81,80,85,62,95,74,76,99,66,52,2,11,90,37,33,14,21,109,70,13,39,50,9,19,32,64,47,79,71,61,112,102,48,1,75,68,38,97,56,84,3,49,34,108,5,23,26,41,53,16,10,72,20,44,88,92,104,91,17,98,93,77,43,111,65,8,54
1: 69,28,60,63,82,7,55,67,18,22,31,25,59,45,106,89,51,4,46,40,30,83,107,73,36,78,101,15,94,6,57,62,35,96,86,29,12,58,100,27,87,105,110,81,85,80,99,37,24,71,42,76,74,66,52,103,95,11,90,2,109,14,21,9,13,39,70,50,19,32,47,61,79,112,104,33,49,48,64,1,102,38,68,56,75,84,97,3,108,5,34,26,23,53,10,41,72,20,44,16,92,88,91,17,98,93,43,77,111,65,8,54
1: 60,28,63,82,55,7,67,22,69,31,59,30,106,89,51,4,40,36,46,83,73,107,78,6,18,57,2,45,25,101,94,15,62,86,27,35,96,12,100,87,105,58,110,81,85,99,37,24,80,71,42,66,74,76,19,103,95,90,29,109,14,21,9,13,39,61,70,32,38,52,11,50,49,112,48,79,108,47,64,20,1,68,56,104,33,84,102,16,34,5,26,23,3,53,10,41,72,97,54,17,88,91,75,92,93,98,44,111,43,77,65,8
1: 60,28,82,55,67,7,22,63,69,59,31,30,106,89,51,4,40,36,46,83,107,86,71,6,18,57,45,99,25,73,94,15,62,101,27,2,78,12,100,87,105,58,110,96,37,35,29,24,81,85,42,66,74,19,76,90,103,95,80,52,109,21,13,39,9,61,49,48,38,70,32,11,33,112,84,79,108,20,64,14,47,68,50,56,1,104,17,16,34,5,26,23,102,3,10,41,72,53,54,93,88,91,65,75,98,97,92,111,43,44,77,8
1: 60,28,82,55,67,7,22,63,69,31,30,106,89,59,51,40,36,46,83,86,4,6,94,18,62,57,25,45,78,71,107,73,15,101,2,12,58,110,87,105,100,27,24,90,99,96,37,29,42,66,19,13,81,85,52,49,48,35,74,76,84,79,108,103,95,109,21,39,9,61,38,70,32,11,80,33,112,20,64,104,26,14,47,68,50,56,1,17,16,41,34,5,23,102,3,65,10,72,53,54,93,43,88,91,98,97,92,111,75,44,77,8
1: 60,28,82,55,67,40,63,69,31,22,7,106,89,36,51,46,83,4,86,2,6,94,18,90,110,30,25,59,78,71,24,73,58,66,105,87,37,62,45,27,29,19,13,101,12,96,99,81,85,57,15,100,49,35,74,103,107,42,79,108,95,52,84,39,48,76,26,41,9,61,109,21,38,32,11,43,64,70,80,33,112,47,53,88,20,68,56,104,10,14,34,16,17,23,65,1,77,54,93,91,111,5,102,92,75,3,72,97,50,98,44,8
1: 60,55,67,82,63,69,31,22,106,28,40,83,51,46,86,89,36,7,18,6,24,90,94,66,110,30,25,59,78,71,73,4,2,27,19,13,62,105,58,12,96,99,101,87,85,57,15,29,37,49,74,45,35,103,107,95,84,26,76,108,11,81,100,38,42,79,52,39,48,41,47,65,54,111,9,61,109,21,32,43,64,70,80,112,104,33,53,88,34,17,23,20,68,56,10,14,16,77,93,91,5,92,98,75,1,102,3,72,97,50,44,8
1: 60,55,67,82,63,69,22,106,28,40,51,83,46,89,36,24,31,18,6,90,94,78,4,110,30,86,25,59,12,66,7,71,73,2,27,13,62,19,58,96,99,101,87,85,105,57,15,29,108,37,74,49,107,95,45,35,103,84,26,81,76,11,42,47,54,79,100,38,52,9,39,48,41,65,109,111,61,21,32,43,64,70,80,112,34,104,92,98,33,53,88,17,23,20,68,56,3,10,14,16,77,93,91,5,75,44,8,1,102,72,97,50
1: 60,55,67,82,63,69,22,106,28,40,51,83,36,31,18,90,94,6,86,25,89,110,30,59,46,7,71,73,24,78,87,4,13,62,12,66,58,96,105,101,85,57,15,29,2,19,99,108,27,74,49,95,45,35,48,41,37,107,103,84,26,81,76,11,79,100,38,9,42,47,54,111,61,52,39,64,68,93,65,109,21,32,43,70,112,34,104,92,98,33,53,14,88,17,23,20,56,44,80,77,1,91,3,10,16,5,75,8,102,72,97,50
1: 60,55,67,82,63,69,22,106,51,36,31,18,90,28,83,40,94,6,86,25,89,30,24,4,87,71,58,96,13,78,59,12,46,62,105,110,57,15,73,2,19,99,7,66,85,27,45,35,101,95,74,29,108,41,49,48,107,81,37,79,47,54,111,61,103,26,76,11,100,38,92,84,9,42,64,52,39,93,68,65,21,32,70,34,33,109,43,112,20,104,77,1,88,17,98,53,14,23,56,44,80,5,91,3,10,16,75,8,102,72,97,50
1: 67,82,55,63,69,106,60,51,90,36,18,40,83,94,6,25,22,96,28,31,86,24,4,87,71,13,12,99,46,105,30,62,110,58,78,57,59,15,2,89,27,45,35,66,101,95,74,73,107,81,19,7,85,41,47,29,108,49,48,100,92,54,64,103,37,79,76,11,111,38,9,61,26,68,109,104,84,42,52,39,93,65,77,21,53,32,70,34,33,43,112,20,3,1,88,17,98,14,5,91,80,23,56,44,10,16,75,8,102,72,97,50
1: 67,82,55,63,69,106,60,36,90,18,25,40,83,94,22,51,31,6,28,24,4,87,71,30,86,96,12,78,105,46,62,57,110,58,13,15,89,66,2,99,101,59,27,74,73,95,107,81,45,35,85,7,41,19,47,29,108,49,54,48,100,37,64,92,103,61,26,109,79,76,11,111,38,68,9,32,104,84,42,52,39,93,21,65,53,77,33,43,70,34,56,112,20,3,1,91,88,17,98,14,5,80,23,44,10,16,50,75,8,102,72,97
1: 67,82,55,69,106,60,36,63,18,40,51,25,90,94,31,24,83,22,28,87,30,86,71,78,6,96,4,105,46,62,57,110,12,89,58,2,99,101,59,27,74,73,13,15,66,95,35,85,45,41,47,29,49,54,48,107,81,103,61,26,111,109,7,19,108,76,100,37,64,9,92,32,52,77,33,79,11,38,68,20,104,84,42,39,93,88,21,65,53,43,70,34,56,112,98,3,1,91,50,16,17,14,5,80,10,23,44,8,75,102,72,97
1: 67,82,55,69,60,36,63,106,51,90,94,25,24,31,18,40,30,22,28,83,71,78,96,86,6,4,105,46,62,57,87,110,12,89,58,2,99,101,59,27,74,73,13,15,66,35,85,41,45,47,29,49,54,95,48,107,81,103,61,26,111,109,19,108,76,100,37,64,9,92,32,7,52,77,33,79,11,38,68,20,104,84,42,39,93,88,21,65,53,43,70,34,56,112,98,3,91,50,1,16,17,14,5,80,10,23,44,8,75,102,97,72
1: 67,69,60,55,36,106,63,82,51,90,94,25,24,31,18,40,30,22,28,83,71,87,78,96,86,6,4,105,46,110,62,12,57,89,58,2,99,101,59,27,74,73,13,66,35,85,41,15,45,47,29,49,54,95,48,107,81,103,61,26,111,109,19,108,76,100,37,64,9,92,32,7,52,77,33,79,11,38,68,20,104,84,42,39,17,88,21,65,53,43,70,34,56,112,98,3,91,50,1,16,93,14,5,80,10,23,44,8,75,102,97,72
1: 60,63,25,69,28,82,45,55,46,7,35,30,67,31,106,22,73,101,51,4,89,36,24,27,18,40,87,29,99,59,37,90,86,57,96,100,58,83,6,105,112,13,94,42,110,52,2,11,107,12,103,95,15,50,70,66,76,80,9,71,19,14,33,68,85,78,79,1,41,61,108,64,48,81,62,21,74,32,3,38,39,104,109,49,47,56,84,102,17,53,34,75,93,16,111,26,92,5,72,10,91,23,20,54,88,97,98,77,65,8,43,44
1: 60,63,69,28,82,55,67,7,22,18,89,59,31,25,46,106,45,30,51,4,36,6,83,62,40,73,87,99,37,29,35,86,96,78,58,90,12,94,57,11,112,101,24,71,105,52,2,66,95,110,27,13,76,32,15,80,81,109,68,107,100,85,14,9,21,39,61,104,50,49,74,41,48,26,70,75,19,38,103,108,79,84,33,17,10,56,47,5,1,93,91,20,43,72,65,53,23,42,102,111,54,88,77,34,16,97,64,3,98,8,92,44
1: 60,63,55,28,82,67,22,7,69,59,30,89,31,46,106,51,4,36,6,18,83,40,86,2,25,62,99,57,73,27,87,45,37,35,78,90,12,94,71,66,101,112,24,105,100,29,80,81,95,58,110,32,107,96,61,15,38,85,14,11,68,48,13,9,76,21,109,49,39,50,52,74,108,41,26,19,70,20,17,103,42,79,16,10,56,91,93,84,53,33,1,5,72,43,88,54,23,104,47,75,34,111,65,64,102,77,3,98,8,92,97,44
1: 60,28,55,67,82,7,22,69,63,30,46,31,51,36,89,106,83,40,86,6,59,18,4,12,25,90,66,57,94,24,62,2,71,87,37,45,99,29,105,78,73,58,27,110,32,100,19,112,101,48,11,41,108,96,35,68,15,107,13,52,85,42,26,84,81,80,38,39,95,49,76,103,9,16,20,14,61,74,104,91,21,93,109,56,1,50,33,70,79,23,54,92,17,43,65,111,10,88,53,64,5,72,34,47,75,77,3,98,102,8,97,44
1: 60,55,28,67,82,69,63,40,46,36,31,7,51,89,83,22,106,86,6,4,18,66,90,2,94,24,59,30,25,87,71,29,37,105,12,58,78,99,57,45,110,73,27,32,100,19,41,108,101,62,96,112,11,35,68,13,85,26,48,15,107,84,39,80,49,81,103,42,52,38,9,95,76,74,16,61,20,56,14,79,53,104,21,93,33,91,1,54,109,70,43,17,23,92,10,50,65,111,88,64,77,47,34,5,75,72,98,3,102,8,97,44
1: 60,55,67,82,63,69,46,106,28,31,51,40,83,36,22,86,6,18,66,90,24,7,89,94,30,4,59,2,25,71,87,12,78,29,105,99,37,19,58,57,110,73,27,96,101,108,62,11,35,45,13,85,26,112,84,32,49,100,68,15,41,107,48,103,38,39,74,95,76,42,52,80,16,104,53,17,81,9,20,23,56,61,33,54,21,93,79,111,47,109,92,14,1,65,34,43,91,70,98,10,88,77,64,75,5,50,3,72,8,102,97,44
1: 67,60,69,63,82,51,86,24,55,106,31,25,36,40,87,94,6,105,22,71,96,90,28,30,99,4,89,83,46,12,73,62,110,27,18,35,26,13,58,85,2,66,101,78,9,100,32,107,7,29,54,48,15,59,77,49,41,57,81,74,108,19,20,16,33,109,76,103,68,47,45,95,61,92,52,11,84,38,17,56,39,53,79,104,1,37,42,3,70,64,80,50,111,23,112,65,44,93,91,102,98,34,5,88,43,75,10,14,21,8,97,72
1: 63,28,100,67,25,69,55,112,59,82,40,58,35,73,45,60,105,7,101,22,4,31,62,15,30,83,76,18,71,36,89,2,33,106,99,29,27,24,78,80,66,6,14,50,11,110,94,81,12,57,93,109,85,13,51,9,42,46,103,90,86,95,61,87,74,107,64,38,75,96,19,77,47,1,52,68,49,21,56,102,104,34,32,39,70,108,79,23,84,37,72,5,17,111,88,20,48,97,54,10,91,41,26,3,44,98,16,53,92,8,65,43
1: 60,63,67,55,28,31,82,46,69,7,30,48,19,86,12,4,83,29,89,51,26,66,36,96,22,59,71,2,20,24,6,78,32,62,87,108,106,41,107,73,100,90,37,103,45,38,43,105,84,68,57,25,5,18,56,91,94,79,40,10,27,13,16,110,112,49,99,76,104,39,11,15,85,54,92,109,33,21,42,23,52,101,61,95,74,17,80,65,58,64,72,35,81,98,14,88,34,47,77,111,70,93,9,44,102,1,75,3,53,50,8,97
1: 60,55,28,69,22,4,31,89,6,82,67,83,96,86,63,66,46,2,40,51,90,18,105,13,19,7,36,94,85,12,30,24,106,87,26,62,71,39,84,32,45,27,49,100,25,103,77,16,29,59,78,73,107,56,48,99,37,68,38,41,10,61,108,112,20,104,74,15,58,64,33,79,42,95,101,17,43,110,11,9,54,76,91,65,81,23,35,109,57,93,5,52,21,34,1,80,92,98,111,8,88,47,53,72,50,14,102,3,97,70,44,75
1: 60,83,55,82,69,31,66,67,63,28,6,22,86,89,90,4,18,103,96,106,24,51,46,36,2,94,12,110,27,71,105,19,73,7,84,40,13,87,99,26,85,37,49,29,30,25,38,78,101,32,108,62,107,59,17,48,16,100,77,56,15,74,58,41,104,112,39,45,68,34,54,61,42,35,10,80,92,20,95,57,33,11,79,76,65,23,9,98,109,81,47,52,93,64,21,88,91,43,5,111,1,53,8,44,50,3,14,102,72,70,75,97
1: 60,82,55,106,69,22,66,67,83,63,6,28,90,31,51,89,24,96,94,12,18,46,99,36,86,73,4,101,85,2,40,19,105,71,59,30,7,110,107,27,103,87,84,49,25,13,26,38,108,78,15,32,62,77,16,9,48,74,100,58,95,37,29,112,34,54,104,57,41,39,80,45,42,92,11,33,56,17,68,98,35,109,61,81,76,65,52,8,20,79,47,64,91,3,10,93,21,102,43,88,1,53,23,44,5,70,14,111,72,75,50,97
1: 67,69,60,55,82,106,63,22,83,28,51,40,90,31,94,96,101,86,6,36,66,85,24,12,4,71,73,18,46,105,59,89,19,7,99,2,87,13,100,30,110,58,107,84,25,108,38,49,48,78,77,62,68,27,15,103,26,9,74,29,112,32,41,95,92,16,37,57,61,79,45,34,39,33,80,17,20,56,11,47,35,1,76,81,52,54,98,104,109,42,65,93,64,3,10,70,102,88,91,111,50,8,14,21,23,43,53,44,5,72,75,97
1: 67,69,55,63,82,60,22,106,90,28,40,96,83,31,51,6,94,71,36,4,24,86,18,46,12,19,85,66,99,105,87,25,13,89,73,7,30,58,27,101,59,107,100,108,49,48,2,77,15,62,84,9,110,78,38,32,41,68,79,29,26,61,57,92,17,95,103,56,45,112,16,37,81,35,54,20,74,33,34,11,39,47,1,80,104,64,42,109,111,70,21,98,3,52,88,65,5,93,76,44,14,50,8,91,53,102,23,10,43,72,75,97
1: 69,82,55,63,67,60,106,90,83,22,51,4,96,28,94,86,40,71,6,31,36,87,99,18,105,24,13,12,46,66,25,58,100,27,101,49,7,89,19,107,85,73,2,30,59,62,77,48,9,95,110,78,74,41,92,108,45,84,57,32,26,103,68,15,112,38,29,33,34,81,54,104,17,79,61,37,35,16,56,47,11,93,64,109,20,39,70,1,52,5,80,53,42,65,3,91,111,76,14,44,50,98,102,21,23,10,8,43,88,75,72,97
1: 69,67,82,63,55,106,60,83,71,36,4,86,90,22,66,96,105,40,51,18,28,94,12,6,87,25,46,31,99,13,24,100,78,30,7,89,101,73,27,49,107,62,19,58,85,2,59,41,48,110,108,74,32,95,26,57,77,9,84,15,33,68,29,56,37,92,45,81,35,38,47,61,54,103,17,34,16,112,11,104,109,39,64,79,42,52,20,80,1,93,3,76,53,70,65,14,111,91,5,21,23,102,44,98,50,88,43,10,8,75,72,97
1: 69,67,82,55,60,63,106,51,36,83,4,86,22,28,87,6,66,71,105,90,40,18,94,24,31,99,96,25,46,12,101,27,30,7,89,62,73,78,100,49,85,2,13,32,41,59,107,29,110,58,26,57,48,9,19,33,74,35,108,77,15,95,81,45,16,84,37,103,68,61,20,17,38,92,112,47,76,56,109,11,54,104,52,79,53,70,39,42,1,50,34,111,64,23,80,93,3,98,65,88,5,91,44,102,14,21,10,75,43,8,97,72
1: 69,82,67,55,60,63,4,36,106,51,83,28,71,86,66,31,6,90,96,24,99,105,94,22,40,87,89,46,101,30,18,12,25,73,27,62,49,78,7,85,29,100,13,41,59,2,32,110,107,19,9,26,48,58,57,33,74,35,15,108,77,45,61,84,95,81,16,68,20,17,103,37,47,76,56,112,38,109,92,11,54,104,1,52,70,39,79,53,42,50,34,3,64,111,23,80,65,98,93,44,91,5,102,88,75,10,43,14,21,8,97,72
1: 69,67,82,63,55,60,86,106,4,51,83,28,71,6,66,36,31,30,90,22,87,94,105,24,99,96,46,40,89,101,18,12,25,73,78,62,27,7,85,100,2,13,29,59,49,41,32,110,107,26,48,9,19,57,58,33,74,35,108,15,77,61,45,81,95,16,84,20,68,103,37,38,47,76,92,17,56,109,54,11,112,104,39,1,52,79,70,42,53,50,34,23,3,64,80,111,65,98,44,93,5,91,102,88,75,43,10,14,21,8,97,72
1: 55,67,69,106,82,60,36,18,63,51,28,83,4,94,25,40,96,31,90,6,24,22,99,105,59,71,2,30,89,86,12,46,87,66,27,19,78,13,101,45,62,49,73,29,57,32,110,74,58,85,41,7,48,35,100,33,26,108,95,92,112,107,15,68,81,103,37,84,54,9,16,11,38,77,42,79,47,61,53,20,109,64,76,56,5,1,111,52,93,17,91,104,98,80,70,10,39,34,50,3,65,8,23,21,43,14,44,88,102,75,72,97
1: 55,69,67,36,82,106,60,4,28,96,63,83,51,31,18,24,94,90,6,22,25,59,40,99,30,71,105,2,89,12,46,86,78,66,19,87,13,62,45,101,49,27,35,29,57,74,73,32,110,85,41,48,58,33,7,100,26,112,107,108,81,92,15,95,68,103,37,84,54,38,9,16,42,11,77,61,79,47,20,76,53,56,64,109,1,5,52,93,104,111,17,91,98,70,80,34,39,10,50,65,3,8,21,23,43,14,44,102,88,72,75,97
1: 67,60,55,69,51,106,36,82,24,96,63,94,71,25,18,22,87,105,110,4,30,6,31,40,28,62,86,83,89,90,13,99,85,54,73,2,46,27,66,78,26,59,15,19,101,12,35,45,49,32,58,29,41,74,107,81,7,57,64,77,48,47,37,91,108,100,103,109,33,111,112,61,68,98,95,92,20,9,79,3,11,104,84,65,16,23,44,17,38,21,88,42,56,53,50,43,70,5,34,93,52,1,76,75,39,8,10,14,80,72,97,102
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1: 86,28,60,82,22,31,7,51,40,67,69,83,89,36,46,66,63,39,4,26,12,90,55,30,110,20,29,71,106,48,6,19,32,87,2,59,13,112,57,62,16,11,84,78,68,85,100,103,105,38,37,18,49,107,91,96,24,45,41,99,25,111,73,76,43,101,108,56,10,42,94,54,23,27,104,5,58,95,74,15,52,14,109,92,33,65,61,21,80,53,17,79,64,34,93,81,77,88,35,47,9,70,3,98,50,8,102,97,44,72,1,75
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1: 60,86,82,87,40,96,13,28,67,46,6,69,63,5,103,30,19,22,7,26,12,29,99,106,101,31,59,71,51,39,4,16,11,90,52,32,89,110,23,2,36,15,73,100,20,24,43,10,112,108,83,91,37,66,107,55,38,78,41,54,76,56,80,62,104,42,25,84,57,49,105,68,18,109,48,45,95,85,21,33,27,17,111,93,65,92,94,14,53,88,47,58,64,81,61,74,44,9,34,79,35,77,70,50,72,97,102,3,98,8,75,1
1: 60,86,82,87,96,22,40,7,28,6,69,46,67,63,103,51,12,39,71,90,4,13,108,55,29,19,105,106,89,2,5,26,31,30,24,110,37,32,59,73,99,10,83,62,36,18,112,27,85,41,95,25,11,107,15,16,56,66,54,68,49,38,104,78,100,84,48,23,52,43,101,20,74,61,94,76,42,45,80,91,9,14,65,88,57,33,93,77,21,64,79,53,92,109,35,17,111,58,47,81,75,44,34,50,102,70,98,3,1,97,72,8
1: 60,82,86,89,22,96,67,6,87,46,28,63,69,55,40,103,106,71,37,7,51,12,90,105,31,24,36,83,30,4,26,99,73,2,13,39,110,15,19,62,101,59,27,29,25,108,76,18,66,95,112,85,38,84,104,5,54,74,11,107,16,48,23,32,49,94,35,41,10,78,56,68,20,65,53,100,45,57,42,17,52,61,43,111,14,34,9,91,80,58,64,93,88,77,92,109,33,79,47,21,98,81,75,44,70,102,50,3,1,8,97,72
1: 67,69,60,51,55,63,36,106,82,24,94,25,40,22,71,96,28,90,31,87,6,18,105,30,62,4,110,83,86,99,89,12,13,46,85,78,2,59,27,35,66,73,19,101,58,26,48,45,32,29,49,74,57,7,41,100,15,108,54,81,77,107,95,37,33,92,9,103,68,47,109,16,112,84,11,42,20,61,38,64,17,111,53,1,79,56,76,104,91,98,3,70,5,52,23,50,93,34,39,65,10,44,21,80,88,43,8,14,75,102,97,72
1: 55,67,60,82,63,90,69,106,36,28,22,51,40,96,94,83,6,18,4,99,85,19,13,31,89,59,62,24,30,25,86,12,71,66,2,105,87,110,58,73,15,7,101,48,45,27,29,78,57,46,49,74,100,32,26,112,77,95,84,68,107,108,35,79,41,92,103,37,38,54,81,11,61,42,64,16,47,9,111,109,104,1,93,65,98,17,34,33,20,91,5,39,53,44,80,70,76,52,23,10,56,8,3,43,21,88,14,75,50,102,97,72
1: 55,67,90,63,69,82,36,106,51,60,83,28,40,96,18,94,6,13,99,4,22,25,31,62,24,12,59,19,89,86,85,2,105,87,71,66,110,27,30,45,58,101,100,46,73,15,7,57,74,48,29,112,49,78,107,95,68,84,77,32,81,41,26,92,35,103,37,9,38,54,108,11,79,64,47,109,5,42,91,16,53,61,104,111,1,33,17,98,93,20,52,34,65,3,80,70,10,44,76,39,23,56,8,43,21,14,88,75,102,50,72,97
1: 67,55,82,63,69,36,106,90,60,40,83,18,94,25,28,51,4,6,96,22,13,12,31,99,71,62,30,24,89,59,66,105,2,87,85,19,110,86,46,27,101,58,45,78,73,7,15,100,74,57,29,41,49,107,32,48,108,95,26,68,81,35,112,37,84,92,54,77,11,47,33,103,9,109,64,42,38,16,53,61,91,1,104,17,79,111,93,56,70,20,5,52,34,65,3,80,98,76,23,43,10,21,44,39,50,8,14,88,75,102,72,97
1: 67,55,82,69,106,36,63,60,51,40,18,94,28,90,83,4,25,96,6,71,99,31,24,22,12,59,30,62,105,89,2,87,86,13,66,46,78,85,110,27,101,19,45,57,73,74,49,29,32,58,7,41,48,100,35,15,26,108,33,107,95,81,54,77,103,37,112,68,92,84,9,16,47,109,11,61,42,64,20,38,53,111,79,1,17,104,56,76,91,98,93,70,5,3,52,34,23,50,65,10,39,21,44,80,88,43,8,14,75,102,97,72
1: 55,67,82,69,36,60,63,106,51,28,94,96,4,90,83,18,24,31,40,25,6,22,71,30,99,59,62,12,105,78,89,2,13,66,46,86,85,110,87,19,101,45,57,27,49,74,73,35,29,32,41,7,58,48,100,15,26,33,107,108,81,95,54,77,112,37,103,68,84,92,9,16,47,109,42,11,61,64,38,20,53,111,79,1,17,56,104,76,91,98,93,70,5,3,52,34,23,50,39,65,10,21,44,80,88,43,8,14,75,102,97,72
1: 67,69,55,82,106,36,63,60,51,94,28,90,96,4,24,31,18,83,40,25,71,30,22,6,87,99,62,12,105,59,110,78,89,2,46,86,13,66,85,101,19,27,45,73,49,35,74,29,57,32,41,7,58,48,100,26,15,33,108,107,81,95,77,37,54,103,92,112,68,84,9,16,47,109,42,11,61,20,64,38,17,79,111,53,1,56,76,104,91,98,70,5,3,52,50,34,23,93,39,10,65,21,44,80,88,43,8,14,75,102,97,72
1: 82,69,67,60,63,51,105,106,28,96,36,55,6,30,86,71,25,22,94,24,87,90,31,46,4,83,40,18,89,27,101,78,12,29,99,35,66,7,73,45,62,48,2,59,32,49,85,26,57,100,110,58,95,19,13,81,107,41,33,74,37,108,9,68,84,76,61,54,42,16,20,77,64,56,79,17,15,103,11,47,52,92,112,53,80,38,109,39,1,70,3,34,104,93,98,111,50,91,21,10,23,65,5,102,44,14,88,75,8,43,72,97
1: 28,69,63,55,25,67,40,35,59,82,60,100,7,112,73,45,58,101,105,11,36,83,22,76,4,31,30,27,78,106,24,2,110,62,80,18,6,89,99,94,12,90,33,51,85,14,93,29,66,52,19,71,95,50,1,61,46,13,42,107,15,109,81,86,9,64,74,47,103,87,21,48,38,57,49,39,96,75,32,88,70,68,37,56,5,84,91,104,102,34,77,108,20,53,79,16,10,3,72,26,97,23,98,41,17,54,111,44,92,65,43,8
1: 28,69,63,55,25,73,67,40,35,59,4,82,60,100,7,112,45,58,101,11,36,83,22,76,31,30,78,24,2,110,62,106,80,18,6,89,99,94,12,90,105,33,27,51,85,14,93,29,66,52,19,71,50,1,61,46,13,42,107,15,109,81,86,9,64,74,47,103,87,21,48,38,95,57,49,39,96,75,32,88,70,68,37,56,5,84,91,104,102,34,77,108,20,53,79,16,10,3,72,26,97,23,98,41,17,54,111,44,92,65,43,8
1: 40,28,69,89,78,22,63,31,83,60,59,67,55,18,71,4,85,11,58,6,62,82,7,36,12,94,49,52,86,66,80,112,51,76,110,2,45,29,35,99,25,106,107,30,37,81,90,32,73,104,14,93,96,100,15,105,19,61,13,47,109,101,87,38,26,39,46,24,9,88,48,57,53,56,5,84,50,74,33,91,21,75,70,108,20,27,79,10,68,3,1,17,54,23,103,72,95,42,44,64,34,16,102,77,43,92,98,111,97,41,8,65
1: 40,60,86,82,71,89,22,28,63,31,51,55,67,85,4,78,38,83,2,7,59,66,12,49,6,36,94,62,69,99,37,110,112,100,30,80,32,87,107,105,57,106,61,20,58,90,35,73,14,81,18,26,108,96,13,27,88,54,16,29,19,56,104,52,48,11,24,46,39,53,84,45,101,76,25,17,9,23,70,42,15,21,74,47,109,91,5,10,93,68,34,33,75,79,72,103,95,50,1,43,92,3,8,77,41,64,98,97,102,111,44,65
1: 60,82,86,4,83,28,67,40,69,89,7,71,51,22,63,105,55,12,66,30,31,36,59,110,49,20,99,6,106,2,87,62,85,37,94,112,29,46,38,100,16,61,107,13,84,26,57,90,73,32,78,48,108,19,80,58,27,25,54,39,52,24,17,18,76,96,15,81,74,95,45,103,23,35,56,34,42,21,41,11,10,33,101,79,104,91,72,5,14,68,93,9,109,43,88,70,53,47,3,50,64,77,75,98,1,65,92,102,97,44,111,8
1: 60,82,28,69,86,67,7,83,63,51,4,30,22,46,55,31,40,89,66,36,12,71,26,6,2,90,106,87,105,29,19,84,78,20,13,110,32,100,59,62,96,108,48,25,16,49,24,94,18,39,85,57,73,45,112,37,41,107,38,27,99,23,58,103,54,42,91,43,15,61,11,74,56,101,95,52,68,79,104,76,33,80,10,34,17,21,109,64,5,81,35,65,93,92,88,72,9,98,70,14,77,3,47,111,50,102,53,1,44,75,97,8
1: 60,82,28,86,67,69,55,83,7,22,63,4,51,2,40,46,31,89,66,6,36,105,90,30,71,12,96,29,87,39,106,19,24,84,100,78,32,13,18,110,25,85,26,108,59,94,41,49,45,73,27,74,20,37,16,95,48,62,112,61,56,99,107,58,79,103,57,68,42,43,11,54,15,101,38,23,77,64,104,34,9,33,35,91,76,65,80,21,10,81,52,17,93,98,109,47,5,88,53,3,92,70,14,1,111,72,102,50,75,44,8,97
1: 60,82,55,67,86,28,69,83,63,22,24,106,6,51,96,31,66,7,89,71,4,46,105,40,19,30,90,2,18,36,78,87,29,84,12,25,27,26,73,59,94,13,85,101,110,100,32,39,62,108,95,54,49,37,112,16,99,48,103,45,35,74,68,61,38,57,58,41,11,76,15,20,107,79,42,77,56,17,34,65,104,23,9,33,80,98,43,64,81,52,109,47,10,53,111,70,93,91,21,92,3,14,1,5,88,72,102,44,50,75,8,97
1: 82,60,55,67,69,28,83,22,106,24,63,96,51,6,4,89,31,71,30,66,36,86,46,90,18,105,2,78,12,7,40,101,59,19,87,29,73,94,27,25,85,84,95,108,32,99,100,26,110,48,16,13,37,62,54,38,45,49,35,112,103,57,58,41,68,15,42,74,11,107,39,9,34,79,61,76,77,98,33,104,80,3,81,17,65,56,20,52,92,109,47,23,64,70,53,10,93,91,21,14,43,111,1,5,44,102,88,75,72,8,50,97
1: 82,69,60,55,28,67,83,106,22,63,51,96,6,31,24,4,71,7,30,36,101,86,66,90,105,87,40,89,94,46,2,19,73,18,29,12,59,25,85,78,84,100,27,68,99,48,62,95,108,13,38,110,35,32,49,45,16,26,79,57,58,15,61,112,74,41,37,42,103,11,64,107,39,9,17,76,52,77,33,65,54,81,20,34,56,104,3,98,93,109,80,92,70,47,23,53,91,1,111,44,14,10,102,43,5,21,8,88,75,50,72,97
1: 82,60,69,67,63,55,28,106,96,51,22,36,4,6,83,31,71,24,90,86,105,18,30,87,94,66,7,101,89,19,40,12,25,29,99,2,46,59,85,78,27,100,73,13,58,62,45,84,95,48,35,108,49,57,32,68,79,107,15,16,41,26,61,38,64,74,33,110,81,77,11,37,42,9,39,112,17,103,76,54,52,20,56,92,70,80,1,34,93,109,47,53,3,65,104,98,111,5,23,44,91,14,21,102,10,43,88,75,72,8,50,97
1: 82,69,28,63,60,106,55,67,51,36,96,6,4,90,83,105,71,86,24,22,25,18,31,87,94,27,30,99,66,101,12,46,40,29,45,7,59,2,13,89,100,85,78,95,62,19,49,73,57,35,48,58,84,68,107,32,41,74,79,15,9,77,81,108,110,16,33,37,26,38,64,11,61,42,112,17,76,103,54,53,92,39,52,70,56,1,109,80,3,104,34,20,47,93,98,5,91,10,65,111,21,102,14,44,23,43,50,75,8,88,72,97
1: 82,69,60,28,106,55,67,63,36,4,83,6,51,90,25,105,71,96,87,18,22,31,86,66,30,24,12,101,94,40,27,46,89,7,78,99,59,2,13,29,45,95,62,73,19,100,85,57,49,107,41,32,35,58,74,48,108,68,84,81,37,33,110,26,61,15,42,64,11,9,16,76,56,79,17,112,77,54,38,80,53,47,92,103,109,52,39,70,1,3,34,93,20,104,91,98,111,21,10,65,5,102,23,44,14,50,43,8,75,88,72,97
1: 82,69,60,67,55,28,106,63,51,36,105,6,4,25,96,83,87,71,90,86,18,30,31,101,24,94,22,27,46,66,40,78,99,89,12,2,7,29,59,45,49,73,32,62,48,95,57,85,35,41,100,19,33,74,107,58,13,81,26,110,68,84,108,37,9,61,76,16,42,64,79,20,56,77,17,103,112,15,11,54,47,52,53,92,80,38,39,109,70,34,1,3,104,93,98,111,50,91,10,21,23,5,65,102,44,14,88,8,75,43,72,97
1: 82,69,67,60,55,28,106,63,30,51,36,105,6,4,96,90,94,83,31,71,22,24,25,101,86,46,18,78,66,89,99,27,40,87,12,29,59,2,45,35,7,49,73,62,32,57,48,41,85,100,19,95,33,74,107,13,81,26,110,58,84,68,37,108,9,61,76,16,42,79,20,56,64,17,77,103,112,15,11,47,54,52,53,38,92,80,109,70,39,34,1,3,104,93,98,50,111,91,21,10,23,5,65,102,44,14,88,8,75,43,72,97
1: 82,69,67,60,106,28,55,63,30,51,105,36,6,4,96,90,94,31,83,71,22,24,101,25,86,46,18,87,78,66,99,89,40,27,12,29,2,59,45,35,7,49,73,62,32,57,48,41,85,100,19,95,33,74,107,13,81,26,110,58,84,37,68,108,9,76,61,42,16,79,56,17,20,64,77,103,15,112,11,47,52,54,92,38,53,80,109,70,39,34,1,3,104,93,98,50,111,91,21,10,23,5,65,102,44,14,88,8,75,43,72,97